Common Core · AP Calculus AB
FUN-3.B
AP Calculus AB, Unit 2 — Calculate derivatives of products and quotients of differentiable functions.
A note on this mapping: The Common Core has no calculus standards; this is the AP Calculus AB learning objective.
AP Calculus AB, Unit 2 — Calculate derivatives of products and quotients of differentiable functions, including tan, cot, sec and csc.
A note on this mapping: The Common Core has no calculus standards; this is the AP Calculus AB learning objective.
The 2 skills that cover it
- Derivative RulesDifferentiate products, quotients and compositions with the product, quotient and chain rules.Read the lesson →
- Transcendental DerivativesDifferentiate the functions that are not powers of x: exponentials of any base, logarithms, tangent and secant, their compositions and products, and the inverse of a function at a point.Read the lesson →
What a student should be able to do
- Apply the product rule.
- Apply the quotient rule.
- Apply the chain rule to a composition.
- Combine rules on a single expression.
- 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.