Q)If the function f(x) = x³ + e^x/2 and g(x) = f^-1(x), then the value of f'(1) is..........?
Sol) f(0) = 1, f'(x) = 3x² + 1/2 e^x/2

=> f'(g(x)) g'(x) = 1

Put x = 0 => g'(1) = 1/f'(0) = 2.(here, cant understand this step)

Ayush arora

15 Years agoGrade