Find the value of the maximum rate of change of f at the given point.
A) 0
B) 8
D) 4

Question

Find the value of the maximum rate of change of f at the given point. 
A) 0 
B) 8 
D) 4

Quizplus · Accepted Answer

The maximum rate of change occurs when the derivative is at its maximum or minimum. Therefore, we need to find the derivative of f and evaluate it at the given point. Taking the derivative of the given function f(x)=8x-2x^2-2, we get: f'(x) = 8-4x. Evaluating at x=1.375, we get f'(1.375) = 8-4(1.375) = 2. Therefore, the maximum rate of change of f at x=1.375 is 2, which corresponds to answer choice C.

Find the Value of the Maximum Rate of Change of F