AP Calculus Unit 3 Review

Differentiate the equation x² + y² = 25 implicitly with respect to x.

Use the chain rule to find the derivative of f(x) = (3x² + 2)⁵.

Find the derivative of the inverse function y = f^-1(x) if f(x) = x³ + 2x.

Differentiate the function y = sin^-1(x) with respect to x. dy/dx =

Mathematical Equivalence

ON

Compute the second derivative of y = e^2x + 3x.

Use implicit differentiation to find dy/dx for the equation x³ + y³ = 6xy.

Mathematical Equivalence

ON

Apply the chain rule to differentiate y = ln(5x² + 3x). dy/dx =

Mathematical Equivalence

ON

Find the derivative of the inverse function y = f^-1(x) if f(x) = 2x + 1.

Mathematical Equivalence

ON

Differentiate the function y = cos^-1(x) with respect to x. dy/dx =

Mathematical Equivalence

ON

Compute the third derivative of y = x⁴ - 4x³ + 6x² - 2x + 1.

• 30x - 30

• 24x - 24

• 12x - 12

• 20x - 20