$\rhd$ Derivatives of inverse functions (4:45) Deriving the formula using the chain rule. An application using the exponential and logarithmic function.
$\rhd$ Derivatives of inverse functions from tables (5:11) Let $g$ and $h$ be inverse functions. A table with the values of $g(x)$, $h(x)$ and $g'(x)$ when $x=3$ and $4$ is given. Find $h'(3)$.
* Practice: Derivatives of inverse functions. (4 problems)
$\rhd$ Derivative of $\sin^{-1}(x)$ (4:55) Deriving a formula for the derivative of $\sin^{-1}(x)$.
$\rhd$ Derivative of $\cos^{-1}(x)$ (3:43) Deriving a formula for the derivative of $\cos^{-1}(x)$.
$\rhd$ Derivative of $\tan^{-1}(x)$ (6:01) Deriving a formula for the derivative of $\tan^{-1}(x)$.
* Practice: Derivatives of inverse trigonometric functions. (4 problems)
