Chapter 9.3, Problem 9E

Let $f\left(x\right)=3x^2-2x$.

(a) Use the definition of derivative and the Procedure/Example box on page 562 to verify that $f\text{'}\left(x\right)=6x-2$.

(b) Find the instantaneous rate of change of $$.

(c) Find the slope of the tangent to the graph of $y=f(x)\text{ at }x=-1$.

(d) Find the point on the graph of $y=f\left(x\right)\text{ at }x=-1$.