Question

Given the function f(x)=x^2 - 2x^5
Determine the instantaneous rate of change at f at x=4.

Answer 1

Instantaneous rate of change of f(x) at x = 4 is -2552

Explanation:

We have f(x)= x² - 2x⁵

We need to find the instantaneous rate of change of f(x) at x=4

Let us take derivative,

f'(x)= 2x - 10x⁴

Now we need to find f'(4)

Substituting x = 4

We have

f'(4)= 2 x 4 - 10 x 4⁴

f'(4)= 8 - 2560

f'(4)= -2552

Instantaneous rate of change of f(x) at x = 4 is -2552