Suppose a differentiable function f(x) satisfies the identity f(x + y) = f(x) + f(y) + xy^2 + x^2y. for all...

Question

Suppose a differentiable function f(x) satisfies the identity f(x + y) = f(x) + f(y) + xy^2 + x^2y. for all real x and y. If _ x 0 f(x) x =1, then f'(3) is equal to __________.

Accepted Answer

10

JEE Main 2020 Mathematics question

Solution