If $y=\{f(x)\}^{\phi(x)}$, then $\frac{d y}{d x}$ is
Answer & explanation
Correct answer: option 1
We have,
$y=\{f(x)\}^{\phi(x)}=e^{\phi(x) \log f(x)}$
$\Rightarrow \frac{d y}{d x}=e^{\phi(x) \log f(x)}\left\{\phi'(x) \log f(x)+\frac{\phi(x)}{f(x)} f'(x)\right\}$