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

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

t=\sin ^{-1} 2^s

then

\frac{d s}{d t}

is equal to

View answer and explanation

Correct option: C

\frac{\cot t}{\log 2}

Option C (

\frac{{\cot t}}{{\log 2}}

) is correct because after finding ds/dt using implicit differentiation, it simplifies to the given expression.

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