Let f be the function defined by f(x)=x^3 + x. If g(x)= the inverse of f(x), and g(2)=1, what is the value of g'(2)?

Answer 1

f'(x) = 3x^2+1

g'(2) = 1/f'(g(2)) = 1/f'(1) = 1/4