MCQ
Consider two statements $S_1$ and $S_2$ .
$S_1$ : If $f(x)$ is a differentiable function with $f'(x)$ = $0$ in $(a, b)$ and $f(x)$ is increasing in $(a, b)$ , then $\frac {f(x)}{f\ '(x)}$ is also increasing in $(a, b).$
$ S_2$ : Both $sin\ x$ and $tan\ x$ are increasing function in $(0,\frac{\pi}{2})$. Which of the following is true
- Aboth $S_1$ and $S_2$ are wrong
- B$S_1$ is correct and implies $S_2$.
- ✓$S_1$ is wrong and $S_2$ is right.
- Dboth $S_1$ and $S_2$ are right.