Let k and m be positive real numbers such that the function f(x) = cases 3x^2+k x+1 , & 0

Question

Let k and m be positive real numbers such that the function f(x) = cases 3x^2+k x+1 , & 0<x<1 ^2+k^2, & x 1 cases is differentiable for all x > 0. Then 8f'(8) f' ( 1 8 ) is equal to __________.

Accepted Answer

309

JEE Main 2023 Mathematics question

Solution