Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
Derivatives of inverse functions refer to finding the rate at which an inverse function changes at any given point on its graph. This can be done by swapping x and y in the original function's derivative formula.
Inverse trigonometric functions are used to find angles based on ratios involving sides in right triangles. Their derivatives are essential in solving problems involving rates of change in trigonometry.
Logarithmic Differentiation: Logarithmic differentiation is a technique used to find the derivative of functions that involve products, quotients, or powers. It involves taking the natural logarithm of both sides of an equation and then differentiating implicitly.
Derivatives of Exponential Functions: Derivatives of exponential functions involve finding the rate at which exponential functions change at any given point on their graph. These derivatives play a crucial role in various fields such as finance, physics, and biology.