Derivative of an Inverse Function

JEE Main Mathematics · Methods of Differentiation · 2 questions, latest first

• Let f(x)=x^5+2 x^3+3 x+1, x ∈ R, and g(x) be a function such that g(f(x))=x for all x ∈ R. Then (g(7))/(g^′(7)) is equal to:20245 April, Shift 1 · Q8
• Let f(x)=x^5+2 e^x / 4 for all x ∈ R. Consider a function g(x) such that (g ° f)(x)=x for all x ∈ R. Then the value of 8 g^′(2)…20244 April, Shift 1 · Q11