What is the instantaneous rate of change of

Jeffrey Ali

Jeffrey Ali

Answered question

2022-03-15

What is the instantaneous rate of change of f(x)=6x23x at x=3?

Answer & Explanation

Auflebenypb

Auflebenypb

Beginner2022-03-16Added 2 answers

Given:
f(x)=6x23x
f'(x)=12x-3
and since the derivative is the slope of the tangent (the instantaneous rate of change) at the general value x
for x=3
f(3)=12×33=33
The instantaneous rate of change of f(x)=6x23x at x=3 is 33

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