Question

What is the derivative of
$f(x) = log_{b}(g(x))$
​

Answer 1

Answer:

the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus

Answer 2

${\huge {\red {\mid{ \fbox{ \tt{Solution}} \mid}}}}$

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${ \sf{ By \: using \: Chain \: Rule \: with}} \: ( log_{b}x) ’ = \frac{1}{( ln \: b)x } ,$

We have

$f’(x) = \frac{1}{( ln \: b)g(x) }. \: g(x) = \frac{g ’(x)}{( ln \: b)g(x)}$

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