Pre-Video Questions

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

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

To go back to the list of video sets, click HERE.

Before watching the videos, think about and answer these questions to the best of your ability.

For each function, identify an antiderivative of the given function. In other words, given $f(x)$ , identify a function $F(x)$ so that $F'(x) = f(x)$ .

$f(x) = 6x^2-x^{-3}$

$12x+3x^{-4}$ $12x-3x^{-4}$ $2x^3+\frac {1}{2}x^{-2}$ $2x^3+\frac {1}{4}x^{-4}$

$f(x) = \dfrac {1}{x}$

$\dfrac {1}{x^2}$ $-x^0$ $\dfrac {1}{x}$ $\ln |x|$ $1^x$

$f(x) = 13$

$0$ $13x$ $x^{13}$ $13+x$

$f(x) = 5 \sin (x)$

$5 \cos (x)$ $5 \sin (x)$ $-5\cos (x)$ $-5\sin (x)$

$f(x) = 2^x$

$2^x \ln (x)$ $\dfrac {2^{x+1}}{x+1}$ $2^x$ $\dfrac {2^x}{\ln (x)}$ $\dfrac {2^x}{\ln (2)}$