n this question, please use the following definition: The critical values of a differentiable function
f (x), are those values of x for which f ′(x) = 0, or for which f ′(x) is not defined. You can also use
the following rules for finding derivatives of polynomials:
f ′(x) = anxn−1, where f (x) = axn, n 6 = 0 and f ′(x) = 0 when f (x) = a where a is a constant - do
not use the definition of the derivative.
(a) Consider the function g(x) = 3x5 − 5x3 defined on R.
(i) Find all critical values.