Question

5. The differential coefficient of f(log x) where f(x) = log x is​

Answer 1

f(x) = log(x) .... (given)

Now replacing x by log(x) on both the sides.

we get

f(log(x)) = log(log(x))

Now differentiating the equation on both the sides we obtain.

$f'(x) = \frac{1}{log(x)} . \frac{d}{dx}(log(x))$

$f'(x) = \frac{1}{logx}. \frac{1}{x}$

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