for each function find values of X where f had local max and min values

Question

a.) f(x)= Cos^2(x-pi/4) on the interval (0, 2pi)

b.) f(x)=(x^3)(e^5x+2)

c.) f(x)= ln(2x+4)+x^2

Answer 1

(b) f '(x) you need product rule

f '(x) = x^3 (5e^5x) + 3x^2 (e^5x + 2)

Set this = 0 and factor:

x^2 ( 5x e^5x + 3e^5x + 6 ) = 0

Let me know if this looks ok so far, and we can continue.