Advanced differentiation

Progress
Implicit differentiation introduction
Implicit differentiation (advanced examples)
Inverse trig functions differentiation
Derivatives of inverse functions
Disguised derivatives
Proofs for the derivatives of eˣ and ln(x)
Logarithmic differentiation
Quiz 1
5 questions from the previous 7 lessons
Parametric & vector-valued function differentiation
Review: Advanced differentiation
Quiz 2
5 questions from the previous 2 lessons
Higher-order derivatives
Higher-order derivatives (parametric & vector-valued functions)
Unit test
10 questions
Lessons
Implicit differentiation introductionImplicit differentiation (advanced examples)Inverse trig functions differentiationDerivatives of inverse functionsDisguised derivativesProofs for the derivatives of eˣ and ln(x)Logarithmic differentiationQuiz 1Parametric & vector-valued function differentiationReview: Advanced differentiationQuiz 2Higher-order derivativesHigher-order derivatives (parametric & vector-valued functions)Unit test
Implicit differentiation introduction
Learn
Implicit differentiation
Worked example: Implicit differentiation
Worked example: Evaluating derivative with implicit differentiation
Showing explicit and implicit differentiation give same result
Practice
Implicit differentiation
4 questions
Completed
Implicit differentiation (advanced examples)
Learn
Implicit differentiation (advanced example)
Implicit differentiation (advanced example)
Implicit differentiation (advanced example)
Derivative of ln(x) as an inverse function
Implicit differentiation review
Inverse trig functions differentiation
Learn
Derivative of inverse sine
Derivative of inverse cosine
Derivative of inverse tangent
Differentiating inverse trig functions review
Derivatives of inverse functions
Learn
Derivatives of inverse functions: from equation
Derivatives of inverse functions: from table
Practice
Derivatives of inverse functions
4 questions
Completed
Disguised derivatives
Learn
Disguised derivatives
Practice
Disguised derivatives
4 questions
Completed
Proofs for the derivatives of eˣ and ln(x)
Learn
Proof: d/dx(ln x) = 1/x
Proof: d/dx(eˣ) = eˣ
Proofs of derivatives of ln(x) and eˣ
Logarithmic differentiation
Learn
Differentiating composite exponential functions
Composite exponential function differentiation example
Practice
Composite exponential function differentiation
4 questions
Completed
Quiz 1
These 5 questions cover concepts in:
Implicit differentiation introduction
Implicit differentiation (advanced examples)
Inverse trig functions differentiation
Derivatives of inverse functions
Disguised derivatives
Proofs for the derivatives of eˣ and ln(x)
Logarithmic differentiation
Parametric & vector-valued function differentiation
Learn
Position vector valued functions
Derivative of a position vector valued function
Parametric functions differentiation
Practice
Vector-valued functions differentiation
4 questions
Completed
Parametric functions differentiation
4 questions
Completed
Review: Advanced differentiation
Practice
Advanced differentiation challenge
4 questions
Completed
Quiz 2
These 5 questions cover concepts in:
Parametric & vector-valued function differentiation
Review: Advanced differentiation
Higher-order derivatives
Learn
Second derivatives
Second derivatives review
Practice
Second derivatives
4 questions
Completed
Higher-order derivatives (parametric & vector-valued functions)
Learn
Second derivatives (vector-valued functions)
Second derivatives (parametric functions)
Practice
Second derivatives (vector-valued functions)
4 questions
Completed
Second derivatives (parametric functions)
4 questions
Completed
Unit test
Test your understanding of Advanced differentiation with these 10 questions.

It takes about 15 to 20 minutes to finish this test.