If (t = \sin^{-1} 2^s), then (\frac{ds}{dt}) is equal to | Mathematics | SolveeIt | Solveeit

Today, August 23

Question

If $t = \sin^{-1} 2^s$ , then $\frac{ds}{dt}$ is equal to

A

$\frac{\log2}{\sqrt{1-t^{2}}}$

B

$\frac{\sin t}{\log2}$

C

$\frac{\cot t}{\log2}$

D

none of these.

Answer

$\frac{\cot t}{\log2}$

Explanation

Solution

Answer (c) $\frac{\cot t}{\log2}$