Home
Class 12
MATHS
Let fn(x) be the n^(th) derivative of f(...

Let `f_n(x)` be the `n^(th)` derivative of f(x). The least value of n
so that `f_n=f_(n+1)` where `f(x)=x^2+e^x` is

A

(a) `4`

B

(b) `5`

C

(c) `2`

D

(d) `3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The function f defined by f(x)=(x+2)e^(-x) is

If f (x) = x^(2) -2x + 3, then the value of x for which f (x) = f(x +1) is

Let f(x) be a function satisfying f'(x)=f(x) with f(0) =1 and g(x) be a function that satisfies f(x) + g(x) = x^2 . Then the value of the integral int_0^1f(x) g(x) dx , is

If f(x)=(1)/(1-x) , then the derivative of the composite function f[f{f(x)}] is equal to

The function f(x) = (x-1)^(1/((2-x)) is not defined at x = 2. The value of f(2) so that f is continuous at x = 2 is

The differential coefficient of f(log_e x) w.r.t. x, where f(x) = log_e x, is