Common Core · AP Calculus AB

FUN-3.E

AP Calculus AB, Unit 3 — Calculate derivatives of inverse and inverse trigonometric functions.

A note on this mapping: The Common Core has no calculus standards; this is the AP Calculus AB learning objective.

The skill that covers it

What a student should be able to do

  • Differentiate ekx, bx, ln x and log_b x.
  • Derive the derivatives of tan, sec, cot and csc from the quotient rule.
  • Apply the chain rule through exponential, logarithmic and trigonometric functions, and use logarithmic differentiation.
  • Find the derivative of an inverse function at a point.

Every Common Core code covered by Math Vale