Progress
Introduction to differential calculus
Derivative as slope of tangent line
Derivative as instantaneous rate of change
Quiz 1
5 questions
Secant lines
Derivative as a limit
Formal definition of derivative
Using the formal definition of derivative
Quiz 2
5 questions
Differentiability
Derivative as a function
Quiz 3
5 questions
Review: Derivative basics
Basic differentiation rules
Power rule
Quiz 4
5 questions
Polynomial functions differentiation
Rational functions differentiation (intro)
Quiz 5
5 questions
Radical functions differentiation (intro)
Sine & cosine derivatives
Quiz 6
5 questions
eˣ and ln(x) derivatives
Review: Basic differentiation
Quiz 7
5 questions
Product rule
Chain rule
Chain rule proof
Quiz 8
5 questions
Quotient rule
Review: Product, quotient, & chain rule
Rational functions differentiation
Quiz 9
5 questions
Radical functions differentiation
Trigonometric functions differentiation
Quiz 10
5 questions
Exponential functions differentiation
Logarithmic functions differentiation
Quiz 11
5 questions
Derivatives capstone
Implicit differentiation introduction
Implicit differentiation (advanced examples)
Inverse trig functions differentiation
Quiz 12
5 questions
Derivatives of inverse functions
Disguised derivatives
Proofs for the derivatives of eˣ and ln(x)
Logarithmic differentiation
Quiz 13
5 questions
Parametric & vector-valued function differentiation
Review: Advanced differentiation
Higher-order derivatives
Quiz 14
5 questions
Higher-order derivatives (parametric & vector-valued functions)
Polar curve differentiation
Unit test
15 questions

Unlock your personalized study plan

Take Quiz 1 to identify your areas for growth. We'll recommend lessons for exactly what you need to learn.
Identify your areas for growth in these lessons:
Identify your areas for growth in these lessons:
Identify your areas for growth in these lessons:
Identify your areas for growth in these lessons:
Identify your areas for growth in these lessons:
Identify your areas for growth in these lessons:
Identify your areas for growth in these lessons:
Identify your areas for growth in these lessons:
Test your understanding of Taking derivatives with these 15 questions.
About this unit
The big idea of differential calculus is the concept of the derivative, which essentially gives us the direction, or rate of change, of a function at any of its points. Learn all about derivatives and how to find them here.