How do you find the instantaneous rate of

Rosa Townsend

Rosa Townsend

Answered question

2022-04-16

How do you find the instantaneous rate of change of f(x)=4x2+4x3 when x=4?

Answer & Explanation

Coupewopmergorlpt

Coupewopmergorlpt

Beginner2022-04-17Added 13 answers

The instantaneous rate of change is equal to the slope of the tangent at the required point or, equivalently, the derivative of the function evaluated at that point.
If f(x)=4x2+4x3
then
the derivative is f'(x)=8x+4
Evaluating this derivative at x=4
gives the instantaneous rate of change
8(4)+4=36

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