Differentiation Question 280
Question: If $ y=\log \log x $ , then $ e^{y}\frac{dy}{dx}= $
[MP PET 1994, 95]
Options:
A) $ \frac{1}{x\log x} $
B) $ \frac{1}{x} $
C) $ \frac{1}{\log x} $
D) $ e^{y} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ y={\log _{e}}{\log _{e}}x\Rightarrow e^{y}={\log _{e}}x\Rightarrow e^{y}\frac{dy}{dx}=\frac{1}{x} $ .