AI Tutor

Premium Lesson

Upgrade to unlock this lesson, practice questions, and your personal tutor.

This lesson is part of a track

Public learning track

Differentiation Rules and Transcendental Functions

12th Grade · Math · Open Global Math

11 lessons

Goal

Differentiate power, exponential, logarithmic, and trigonometric functions using product, quotient, chain, and inverse differentiation rules.

11 lessons
0 of 11 done
  1. Power Rule for Negative and Rational ExponentsUp next
  2. Derivatives of Exponential Functions: Base e and General BasesYou are here
  3. Derivatives of Natural and General Logarithmic FunctionsNot started yet
  4. Differentiating Trigonometric Functions: Sine, Cosine, and TangentNot started yet
  5. Derivatives of Secant, Cosecant, and Cotangent FunctionsNot started yet
  6. The Product Rule for Algebraic and Transcendental FunctionsNot started yet
  7. The Quotient Rule for Algebraic and Transcendental FractionsNot started yet
  8. The Chain Rule for Nested Composite FunctionsNot started yet
  9. Combining Product, Quotient, and Chain RulesNot started yet
  10. Differentiating Inverse Functions Using dx/dyNot started yet
  11. Derivatives of Inverse Trigonometric FunctionsNot started yet
View full track

Learning standards covered

GlobalOGM.13.CAL.2Open Global Math Standards 2026™ · 12th Grade

Differentiate algebraic, power ($x^n$), exponential ($e^{kx}, a^{kx}$), logarithmic ($\ln x$), and trigonometric functions ($\\sin kx, \\cos kx, \\tan kx$) using standard differentiation rules (product rule, quotient rule, chain rule), and find derivatives of inverse functions.