Let f : (0, ) R be a twice differentiable function. If for some a 0, _0^1 f( x)d = af(x), f(1) = 1 and f(16)...

Question

Let f : (0, ) R be a twice differentiable function. If for some a 0, _0^1 f( x)d = af(x), f(1) = 1 and f(16) = 1 8 , then 16 - f' ( 1 16 ) is equal to …………….. .

Accepted Answer

112

JEE Main 2025 Mathematics question

Solution

See the full step-by-step solution