Using the derivative of f(x) given below, determine the critical points of f(x) .
-f'(x) = (x - 5) e^-x

Question

Using the derivative of f(x) given below, determine the critical points of f(x). -f'(x) = (x - 5) e^-x A) 5 B) 6 C) -6 D) -5

Quizplus · Accepted Answer

A critical point of a function f(x) is where its derivative f'(x) is equal to zero or undefined. In this case, the derivative is a product of two factors: (x - 5) and e^(-x). Setting each factor to zero gives us x=5 and x=undefined, respectively. Therefore, the only critical point of f(x) is x=5.

Using the Derivative of F(x) Given Below, Determine the Critical