The amount of photosynthesis that takes place in a certain plant depends on the intensity of light x according to the equation
f(x) = 145x2 - 30x3
(a) Find the rate of change of photosynthesis with respect to the intensity.
(b) What is the rate of change when x = 1? When x = 3?
(c) How fast is the rate found in part (a) changing when x = 1? When x = 3?