Given the function f(x)=x^2 - 2x^5
Determine the instantaneous rate of change at f at x=4.
1 answer:
<h2>
Instantaneous rate of change of f(x) at x = 4 is -2552</h2>
Step-by-step 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
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Alternate angles are also equal, therefore,
Equation (2) minus equation (1) gives,
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