Post Video Questions

$\newcommand{\arraycolsep}[3]{} \newcommand{\dd}[2][]{\frac{d #1}{d #2}} \newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}} \newcommand{\veci}{\vec{\hat{\bf\imath}}} \newcommand{\vecj}{\vec{\hat{\bf\jmath}}} \newcommand{\utan}{\vec{\hat{t}}} \newcommand{\unormal}{\vec{\hat{n}}} \newenvironment{amatrix}[1]{% \begin{bmatrix} }{% \end{bmatrix} }$

$\newenvironment {prompt}{}{} \newcommand {\ungraded }[0]{} \newcommand {\HyperFirstAtBeginDocument }[0]{\AtBeginDocument }$

Please answer each of these questions to the best of your ability. You are welcome to re-watch parts of any of the videos to help you.

For each of the following functions, find the derivative function. To enter the number $\pi$ , type “pi.”

$f(x) = \ln (\sin (x))$ , $f'(x)=\answer [validator=isDerivative]{\ln (\sin (x))}$

$f(x) = 3^{\sin (x)}$ , $f'(x)=\answer [validator=isDerivative]{3^{\sin (x)}}$

$f(x) = \cos (6x^3-4)$ , $f'(x)=\answer [validator=isDerivative]{\cos (6 x^3 - 4)}$