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Logarithmic Differentiation

If y=log lo...

Question

If $y = l o g {l o g (l o g x^{5})}$ , then find $\frac{d y}{d x}$

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Solution

$y = l o g {l o g (l o g x^{5})}$
$\frac{d y}{d x} = \frac{1}{l o g (l o g x^{5})} \frac{1}{(l o g x^{5})}$
$\frac{d y}{d x} = 5 \frac{1}{x l o g (l o g x^{5})} . (l o g x^{5})$

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