# Derivative introduction

Lessons

Introduction to differential calculusDerivative as slope of tangent lineDerivative as instantaneous rate of changeSecant linesDerivative as a limitFormal definition of derivativeUsing the formal definition of derivativeDifferentiabilityDerivative as a functionReview: Derivative basicsPractice

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Practice

Secant lines & average rate of change with arbitrary points

4 questions

Practice

Practice

Derivative as a limit: numerical

4 questions

Practice

Learn

Learn

Practice

Differentiability at a point: graphical

4 questions

Practice

Differentiability at a point: algebraic

4 questions

Practice

Practice

Derivatives basics challenge

7 questions

Practice

About this unit

Get comfortable with the big idea of differential calculus, the derivative. The derivative of a function has many different interpretations and they are all very useful when dealing with differential calculus problems. This topic covers all of those interpretations, including the formal definition of the derivative and the notion of differentiable functions.