What is the instantaneous rate of change of

sanmateo9x3

sanmateo9x3

Answered question

2022-03-17

What is the instantaneous rate of change of f(x)=ln(4x22x) at x=-2?

Answer & Explanation

ieuemd0l

ieuemd0l

Beginner2022-03-18Added 9 answers

Explanation:
Instantaneous rate of change of a function is given by the value of the first derivative at that point.
As the function is f(x)=ln(4x22x)
f(x)=14x22x×(8x2)=8x24x22x
and at x=-2, we have f(2)=8(2)24(2)22(2)
=16216+4=1820=910

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