Answer
B
Work Step by Step
see page 734, "Derivative Function"
... Equivalently, $f^{\prime}$ associates to each $x$
the slope of the tangent to the graph of the function f at $x$,
or the rate of change of f at $x$.
The formula for the derivative function is
$f^{\prime}(x)=\displaystyle \lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$.
The correct choice is B.