Let f be a real-valued function defined on the interval (-1, 1) such that e^ -x f(x) = 2 + _0^x t^4+1 ,dt , x...

Question

Let f be a real-valued function defined on the interval (-1, 1) such that e^ -x f(x) = 2 + _0^x t^4+1 ,dt , x (-1, 1). Let f^ -1 be the inverse function of f. Then (f^ -1 )'(2) is equal to

Accepted Answer

(B)

JEE Advanced Mathematics question

Solution

See the full step-by-step solution