- $\rhd$ 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 equation (5:03) Given $f(x) =\dfrac{1}{2}x^3+3x-4$ and let $h$ be the inverse function of $f$. Notice that $f(-2)=-14$. Find $h'(-14)$.
- $\rhd$ 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)