Let f : R → R be defined as f(x)= cases x^5 ( 1 x )+5x^2, & x0 cases . The...

Question

Let f : R → R be defined as f(x)= cases x^5 ( 1 x )+5x^2, & x<0 0, & x=0 ^5 ( 1 x )+ x^2, & x>0 cases . The value of for which f "(0) exists is ________.

Accepted Answer

5

JEE Main 2020 Mathematics question

Solution