use-the-following-limit-definition-to-determine-the-slope-of-the-line-tangent-to

Question

Use the following limit definition to determine the slope of the line tangent to the graph of $f$ at $P$ , where $f (x) = - \frac{4}{x}$ and $P of open paren negative 4 comma 1 close paren$ :

$m_{tan} = \lim_{x \to a} \frac{f (x) - f (a)}{x - a}$

Accepted Answer

$\frac{1}{4}$

Answer

$\frac{1}{4}$

Answer

$\frac{1}{4}$

Answer

$\frac{1}{4}$

Use the following limit definition to determine the slope of the line tangent to the graph of ff at PP, where f(x)=−4xf\left(x\right)=-\frac{4}{x} and P(−4,1)P\left(-4,1\right):mtan=limx→af(x)−f(a)x−am_\text{tan}=\displaystyle \lim_{x \to a}{\frac{f(x)-f(a)}{x-a}}

Use the following limit definition to determine the slope of the line tangent to the graph of $f$ at $P$ , where $f (x) = - \frac{4}{x}$ and $P of open paren negative 4 comma 1 close paren$ :
$m_{tan} = \lim_{x \to a} \frac{f (x) - f (a)}{x - a}$