Question
Find the relative rate of change of $f(x)$ at the indicated value of $x$. Round to three decimal places.$$f(x)=4 x^{2}-\ln x ; x=5$$
Step 1
The derivative of $f(x) = 4x^2 - \ln x$ is given by the power rule and the chain rule. The derivative of $4x^2$ is $8x$ and the derivative of $-\ln x$ is $-1/x$. So, $f'(x) = 8x - 1/x$. Show more…
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