Let f(x) = 5x2 − 3x.
(a) Use the definition of derivative and the Procedure/Example box in this section to find the derivative.
f '(x) =

(b) Find the instantaneous rate of change of f(x) at
x = −1.

(c) Find the slope of the tangent to the graph of
y = f(x)
at
x = −1.

(d) Find the point on the graph of
y = f(x)
at
x = −1.

(x, y) =