Chapter 3.5, Problem 34E

Which is correct? The derivative function $f\text{'}\left(x\right)$ tellsus

(A) the slope of the tangent line at each of the points $\left(x,f\left(x\right)\right)$.

(B) the approximate slope of the tangent line at each of the points $\left(x,f\left(x\right)\right)$.

(C) the slope of the secant line through $\left(x,f\left(x\right)\right)$ and $\left(x+h,f\left(x+h\right)\right)$ for $h=\mathrm{0.0001.}$

(D) the slope of a certain secant line through each of the points $\left(x,f\left(x\right)\right)$.