Find the x value for all maxima and minima of f(x) if:

Question

f'(x)=(x-7)(x+3)(x-8)^2(x+27)^3

Answer 1

remember that max/mins occur when f ' (x) equal zero.
Since your f ' (x) is already nicely factored, all we have to do is set each of the factors equal to zero and solve, so

the x's that yield a max/min are
x = 7, -3, 8, and -27

Answer 2

thank you