JEE Main & Advanced
Mathematics
Differentiation
Question Bank
Numerical Value Type Questions - Differentiation
question_answer
Let \[\phi \left( x \right)\] be the inverse of the function \[f\left( x \right)\] and \[{f}'\left( x \right)=\frac{1}{1+{{x}^{5}}}\,\,\text{and}\,\,\frac{d}{dx}\phi \left( x \right)={{\left[ 1+\phi \left( x \right) \right]}^{n}}\] then find n.