Chapter 9.3, Problem 7E

(a)

To determine

To calculate: The instantaneous rate of change of function $f\left(x\right)$ at $x=4$ if $f\left(x\right)=4x^2$ and $f^{\prime }\left(x\right)=8x$.

(b)

To determine

To calculate: The slope to the tangent of the graph $y=f\left(x\right)$ at $x=4$ if $f\left(x\right)=4x^2$ and $f^{\prime }\left(x\right)=8x$.

(c)

To determine

The point on the graph of $y=f\left(x\right)$ at $x=4$ if $f\left(x\right)=4x^2$ and $f^{\prime }\left(x\right)=8x$.