Main content

Advanced differentiation

Learn
Implicit differentiationWorked example: Implicit differentiationWorked example: Evaluating derivative with implicit differentiationShowing explicit and implicit differentiation give same result
Practice
Implicit differentiationGet 3 of 4 questions to level up!
Learn
Implicit differentiation (advanced example)Implicit differentiation (advanced example)Implicit differentiation (advanced example)Derivative of ln(x) from derivative of 𝑒ˣ and implicit differentiationImplicit differentiation review
Learn
Derivative of inverse sineDerivative of inverse cosineDerivative of inverse tangentDifferentiating inverse trig functions review
Learn
Derivatives of inverse functions: from equationDerivatives of inverse functions: from table
Practice
Derivatives of inverse functionsGet 3 of 4 questions to level up!
Learn
Disguised derivatives
Practice
Disguised derivativesGet 3 of 4 questions to level up!
Learn
Proof: d/dx(ln x) = 1/xProof: d/dx(eˣ) = eˣProofs of derivatives of ln(x) and eˣ
Learn
Composite exponential function differentiationWorked example: Composite exponential function differentiation
Practice
Learn
No videos or articles available in this lesson
Practice
Advanced differentiation challengeGet 3 of 4 questions to level up!
Learn
Second derivativesSecond derivatives review
Practice
Second derivativesGet 3 of 4 questions to level up!
Learn
Mean value theoremMean value theorem example: polynomialMean value theorem example: square root functionMean value theorem applicationMean value theorem review
Practice
Using the mean value theoremGet 3 of 4 questions to level up!

About this unit

The chain rule sets the stage for implicit differentiation, which in turn allows us to differentiate inverse functions (and specifically the inverse trigonometric functions). This is really the top of the line when it comes to differentiation.