JEE Main & Advanced
Mathematics
Differentiation
Question Bank
Numerical Value Type Questions - Differentiation
question_answer
Let \[g\left( x \right)\] be inverse of function \[f\left( x \right)={{x}^{3}}+2{{x}^{2}}+4x+\sin \left( \frac{\pi }{2}x \right)\] and \[g'\left( 8 \right)\] is equal to \[\frac{1}{k}\] then find k.