Tag
Derivatives
316 free resources tagged Derivatives: tools, labs, worksheets, cheat sheets, and infographics.
Tools
Calculus Function Graph Explorer Calculus Derivative & Integral Visualizer Calculus Polar & Parametric Graph Explorer Calculus Derivative Rules Step-by-Step Calculus Related Rates Visual Solver Calculus Optimization Problem Builder Calculus Limits & Continuity Explorer Calculus Differential Equations Solver Biology Population Growth Simulator Statistics Error Propagation Calculator Statistics Linear Regression Trainer Calculus Differential Equations Visualizer Chemistry AP Titration Curve Analyzer Calculus Taylor Polynomial Error Explorer Calculus Newton's Method Visualizer Calculus Arc Length & Surface of Revolution Explorer
Labs
Physics Electrostatics & Equipotential Mapping Lab Biology Population Ecology & Demography Lab Earth Science Nutrient Cycling Lab Statistics Logistic Regression Classifier Lab Math Polynomial & Rational Functions Lab Calculus Optimization & Related Rates Lab Calculus Differential Equations Modeling Lab Calculus Series & Taylor Approximation Lab Calculus Limits & Continuity Lab Calculus Derivatives & Tangent Lines Lab Calculus FTC & Net Change Lab Calculus Parametric, Polar & Vector Lab Physics Graph Analysis Lab Calculus 3D Vector Field Explorer Engineering PID Control Tuning Lab
Worksheets
Math Derivatives and Differentiation Rules Math Integration and the Fundamental Theorem of Calculus Math Math: Limits and Continuity Math Calculus: Applications of Derivatives: Optimization Math Calculus: Derivative Rules: Power, Chain, Product, Quotient Physics Physics: Kinematics: Velocity-Time and Position-Time Graphs CS CS: Neural Networks: From Perceptron to Deep Learning Math Math: Euler's Method for Differential Equations Math Math: First-Order Linear Differential Equations Math Integration by Parts and Substitution Math Power Series and Radius of Convergence Math Separable First-Order Differential Equations Math Math: Slope Fields and Direction Fields Math Math: Taylor and Maclaurin Series Calculus Calculus: Derivatives Calculus Calculus: Integrals Calculus Calculus: Differential Equations Calculus Calculus: Optimization Calculus Calculus: Related Rates Calculus Calculus: Series and Sequences Calculus Calculus: Integrals (Advanced)
Cheat Sheets
Math Differential Equations First- and Second-Order Math Numerical Methods Reference Math IB Mathematics Analysis and Approaches SL Formula Reference Calculus Applications of Calculus Calculus Derivatives & Differentiation Rules Calculus Limits & Continuity Calculus Differential Equations Intro Calculus Multivariable Calculus Basics Calculus Series and Sequences Calculus AP Calculus AB Formula Sheet Calculus AP Calculus BC Formula Sheet Calculus Common Derivatives & Integrals Table Calculus Polar & Parametric Equations Calculus Taylor & Maclaurin Series Calculus Vector Calculus Calculus Arc Length & Surface Area of Revolution Calculus Green's, Stokes' & Divergence Theorems Calculus Integration by Parts (LIATE) Reference Calculus Lagrange Multipliers Reference Calculus L'Hôpital's Rule & Indeterminate Forms Calculus Optimization Word Problem Reference Calculus Related Rates Master Reference Calculus U-Substitution Master Examples Calculus AP Calc AB Exam Reference Sheet Calculus Differential Equations and Slope Fields Calculus L Hopital Rule and Indeterminate Forms Calculus Multivariable Calculus Gradient, Divergence, Curl Calculus Parametric, Polar, and Vector Functions Calculus Taylor and Maclaurin Series Reference Calculus Vector Calculus Theorems Green, Stokes, Divergence Calculus First-Order ODE Solution Methods Reference Calculus Hyperbolic Functions Reference Calculus Laplace Transform Reference Calculus Line Integrals & Surface Integrals Reference Calculus ODE Methods Euler & Runge-Kutta Reference Calculus Second-Order Linear ODE Reference Calculus Chain Rule Worked Examples Calculus Implicit Differentiation Reference Calculus Mean Value & Rolle's Theorems Calculus Riemann Sums & The Definite Integral Calculus Tangent Lines & The Derivative as a Limit Calculus Concavity & Inflection Points Calculus Continuity & Types of Discontinuity Calculus Curve Sketching Reference Calculus Fundamental Theorem of Calculus Calculus Linear Approximation & Differentials Calculus Change of Variables and the Jacobian Calculus Directional Derivatives and the Gradient Calculus Epsilon-Delta Definition of a Limit Worked Examples Calculus Error Bounds for Taylor Polynomials Calculus Exact Differential Equations and Integrating Factors Calculus IB Mathematics Analysis and Approaches HL Calculus Reference Calculus Power Series Solutions of Differential Equations Calculus Surface Integrals and Flux Worked Examples Calculus Systems of Linear ODEs with Eigenvalues Calculus Tangent Planes and Linearization of Surfaces Calculus Variation of Parameters for Nonhomogeneous ODEs Statistics Mathematical Statistics Estimators and MLE Physics Classical Mechanics Lagrangian and Hamiltonian Physics Electromagnetism Maxwell Equations Differential Form Computer Science Gradient Descent Reference Computer Science Neural Network Activation Functions Reference Social Studies Microeconomics Intermediate Theory Applied Math Numerical Methods Applied Math Gradient Descent & Optimization Applied Math Newton's Method & Root Finding Applied Math Compartmental Models for Epidemics Applied Math Finite Difference Methods for Differential Equations Applied Math Interpolation Methods Reference Engineering Cam & Follower Motion Reference Engineering Cantilever & Beam Deflection Formulas Engineering PID Controller Tuning Reference Engineering Control Systems Block Diagrams Engineering Strain Energy and Castigliano's Theorem Engineering Laplace Transform Pairs for Control Systems Engineering Root Locus Sketching Rules Reference Robotics PID Control Reference Robotics Inverse Kinematics Reference
Infographics
Physics Isaac Newton: Architect of Classical Mechanics Physics Physics: The Kinematic Equations Physics Physics: Average vs Instantaneous Velocity Physics Physics: Potential Energy Diagrams Physics Physics: Angular Velocity and Acceleration Math Derivative as Slope Math Integral as Area Math Leonhard Euler: Master of Mathematical Analysis Math Gottfried Leibniz: Co-Inventor of Calculus Math Bernhard Riemann: Pioneer of Non-Euclidean Geometry Math Math: Slope Math Math: Graphing Polynomial Functions Math Math: The Tangent and Slope Connection Math Math: Average Rate of Change Math Math: Difference Quotient Calculus Derivatives Calculus Integrals Calculus Limits & Continuity Calculus Optimization Calculus Taylor Series Calculus The Chain Rule Calculus Fundamental Theorem of Calculus Calculus Related Rates Calculus Derivative Rules Visual Guide Calculus The Chain Rule Calculus Product Rule vs Quotient Rule Calculus Implicit Differentiation Calculus Tangent Lines and Linear Approximation Calculus Critical Points and Extrema Calculus First Derivative Test Calculus Second Derivative Test Calculus Concavity and Inflection Points Calculus Curve Sketching with Derivatives Calculus Optimization Problems Calculus Related Rates Calculus Mean Value Theorem Calculus Rolle's Theorem Calculus L'Hopital's Rule Calculus Fundamental Theorem of Calculus Calculus U-Substitution Calculus Integration by Parts Calculus Arc Length and Surface Area of Revolution Calculus Differential Equations and Slope Fields Calculus Taylor and Maclaurin Series Calculus Limits and Continuity Calculus Differential Equations Introduction Calculus Related Rates Calculus Calculus: The Epsilon-Delta Definition of a Limit Calculus Calculus: One-Sided Limits Calculus Calculus: Limit Laws Calculus Calculus: The Limit of sin x over x Calculus Calculus: Types of Discontinuity Calculus Calculus: Continuity at a Point Calculus Calculus: Evaluating Limits Algebraically Calculus Calculus: Indeterminate Forms Calculus Calculus: Limits of Piecewise Functions Calculus Calculus: Horizontal and Slant Asymptotes Calculus Calculus: The Precise Limit and Approximation Calculus Calculus: Limits That Do Not Exist Calculus Calculus: The Definition of the Derivative Calculus Calculus: The Derivative as a Function Calculus Calculus: The Power Rule Calculus Calculus: The Quotient Rule Calculus Calculus: Derivatives of Trig Functions Calculus Calculus: Derivatives of Inverse Trig Functions Calculus Calculus: Derivatives of Exponential Functions Calculus Calculus: Derivatives of Logarithmic Functions Calculus Calculus: Logarithmic Differentiation Calculus Calculus: Higher-Order Derivatives Calculus Calculus: Differentiability vs Continuity Calculus Calculus: Derivatives of Hyperbolic Functions Calculus Calculus: The Derivative of an Inverse Function Calculus Calculus: Tangent and Normal Lines Calculus Calculus: Differentials Calculus Calculus: Newton's Method Calculus Calculus: Position, Velocity, and Acceleration Calculus Calculus: Marginal Cost and Revenue Calculus Calculus: Derivatives of Composite Functions Calculus Calculus: Parametric Derivatives Calculus Calculus: Derivatives in Polar Coordinates Calculus Calculus: The Sign of the Derivative Calculus Calculus: Antiderivatives Calculus Calculus: Rates of Change Calculus Calculus: Derivative Notation Calculus Calculus: Smoothness, Corners, and Cusps Calculus Calculus: The Power Rule for Roots and Reciprocals Calculus Calculus: Increasing and Decreasing Functions Calculus Calculus: The Extreme Value Theorem Calculus Calculus: Absolute vs Local Extrema Calculus Calculus: Finding Inflection Points Calculus Calculus: The Closed-Interval Method Calculus Calculus: Optimization with Constraints Calculus Calculus: Related Rates with Cones and Spheres Calculus Calculus: The Ladder and Shadow Problems Calculus Calculus: Concavity and the Second Derivative Calculus Calculus: Optimization in Business Calculus Calculus: Optimization in Geometry Calculus Calculus: Reading the Graph of the Derivative Calculus Calculus: Antiderivatives and Motion Calculus Calculus: Curve Sketching with Calculus Calculus Calculus: Optimization Problem Strategy Calculus Calculus: The First and Second Derivative Tests Compared Calculus Calculus: Implicit Differentiation Applications Calculus Calculus: Monotonicity and the Derivative Calculus Calculus: Sensitivity and Error Propagation Calculus Calculus: Optimization Word Problems Calculus Calculus: Tangent Line Approximation Error Calculus Calculus: The Indefinite Integral Calculus Calculus: Basic Integration Rules Calculus Calculus: The Fundamental Theorem Part 1 Calculus Calculus: The Fundamental Theorem Part 2 Calculus Calculus: Integrals Resulting in Logarithms Calculus Calculus: Integrals with Inverse Trig Results Calculus Calculus: The Net Change Theorem Calculus Calculus: Choosing an Integration Technique Calculus Calculus: Accumulation Functions Calculus Calculus: Integration of Exponential Functions Calculus Calculus: The Net Change and Distance Calculus Calculus: Accumulated Growth Calculus Calculus: Sequences and Convergence Calculus Calculus: Choosing a Convergence Test Calculus Calculus: Power Series Calculus Calculus: Radius and Interval of Convergence Calculus Calculus: Taylor's Theorem and the Remainder Calculus Calculus: Common Maclaurin Series Calculus Calculus: Building New Series Calculus Calculus: Term-by-Term Differentiation and Integration Calculus Calculus: Approximating Functions with Taylor Polynomials Calculus Calculus: The Binomial Series Calculus Calculus: Why Some Series Converge Calculus Calculus: Separable Differential Equations Calculus Calculus: Slope Fields in Depth Calculus Calculus: Euler's Method Calculus Calculus: Exponential Growth and Decay Calculus Calculus: The Logistic Differential Equation Calculus Calculus: First-Order Linear Differential Equations Calculus Calculus: Initial Value Problems Calculus Calculus: Newton's Law of Cooling Calculus Calculus: Direction Fields and Equilibria Calculus Calculus: Mixing and Tank Problems Calculus Calculus: Second-Order Differential Equations Calculus Calculus: What Is a Differential Equation Calculus Calculus: Modeling with Differential Equations Calculus Calculus: Autonomous Differential Equations Calculus Calculus: Partial Derivatives Calculus Calculus: Higher-Order Partial Derivatives Calculus Calculus: The Gradient Vector Calculus Calculus: Directional Derivatives Calculus Calculus: Tangent Planes and Linearization Calculus Calculus: The Multivariable Chain Rule Calculus Calculus: Critical Points of Multivariable Functions Calculus Calculus: Lagrange Multipliers Calculus Calculus: Vector Fields Calculus Calculus: Green's Theorem Calculus Calculus: Curl and Divergence Calculus Calculus: Stokes' Theorem Calculus Calculus: The Divergence Theorem Calculus Calculus: The Jacobian and Change of Variables Calculus Calculus: Parametric Equations and Curves Calculus Calculus: Calculus of Parametric Curves Calculus Calculus: Arc Length in Parametric and Polar Form Calculus Calculus: Velocity and Acceleration Vectors Calculus Calculus: Curvature Calculus Calculus: Tangent and Normal Vectors Calculus Calculus: Motion Along a Space Curve Calculus Calculus: What Is Calculus Calculus Calculus: The Two Big Problems Calculus Calculus: The Number e Calculus Calculus: The History of Calculus Calculus Calculus: Infinitesimals and Limits Calculus Calculus: Differential vs Integral Calculus Calculus Calculus: Hyperbolic Functions and Their Integrals Calculus Calculus: The Inverse Function Theorem Calculus Calculus: Solids of Revolution About Any Line Calculus Calculus: Special Functions from Integrals Geometry Geometry: Tangent Line Properties Geometry Geometry: Minimal Surfaces and Soap Films Engineering Engineering: Shear and Moment Diagrams Engineering Engineering: PID Control Engineering Engineering: The Laplace Transform in Controls Robotics PID Control Made Visual 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