If y = x, then e^y dy dx = - Vidyadip

MCQ

If $y = \log \log x$, then ${e^y}{{dy} \over {dx}} = $

A
${1 \over {x\log x}}$
✓
${1 \over x}$
C
${1 \over {\log x}}$
D
${e^y}$

✓

Answer

Correct option: B.

${1 \over x}$

b
(b) $y = {\log _e}{\log _e}x \Rightarrow {e^y} = {\log _e}x \Rightarrow {e^y}\frac{{dy}}{{dx}} = \frac{1}{x}$.

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