## Related questions with answers

Question

Find the relative rate of change of f(x) at the indicated value of x. Round to three decimal places. f(x)=420-5 x; x=25

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2To find the relative rate of change of a function $f(x)$ we use the formula: $\frac{f'(x)}{f(x)}$. We need to find the logarithmic derivative f(x):

$\frac{d}{dx}\ln f(x)=\frac{-5}{420-5x}$

By substituting $x=25$ we get:

$\frac{d}{dx}\ln f(25)=-0,017$

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