What is the instantaneous rate of change of

voordragh2

voordragh2

Answered question

2022-03-17

What is the instantaneous rate of change of f(x)=ln(4x26) at x=-2

Answer & Explanation

Julio Oliver

Julio Oliver

Beginner2022-03-18Added 2 answers

This is the value of f'(-2)
differentiate using the chain rule
ddx[f(g(x))]=f(g(x))g(x)
f(g(x))=ln(4x26)f(g(x))=14x26
and g(x)=4x26g(x)=8x
f(x)=14x26×8x=8x4x26
f(2)=16166=85

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