Home
Class 14
MATHS
Suppose the function f(x)=x^(n), n ne0 i...

Suppose the function `f(x)=x^(n), n ne0` is differentiable for all x. then n can be any element of the interval

A

`(1,oo)`

B

`(0,oo)`

C

`(1/2,oo)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Suppose the function f(x)=x^(n),n!=0 is differentiable for all x. Then n can be any element of the interval

Is the function f(x)=x^(3n), n in N even?

The function f(x)=max{|x|^(3),1),x>=0 and f(x)=min{|x|^(3),1),x<0 is non differentiable at n points then n=

A function f : R rarr R satisfies the equation f(x+y) = f(x). f(y) for all x y in R, f(x) ne 0 . Suppose that the function is differentiable at x = 0 and f'(0) = 2 , then prove that f' = 2f(x) .

Verify Rolles theorem for the function f(x)=(x-a)^(m)(x-b)^(n) on the interval [a,b], where m,n are positive integers.

Verify Rolles theorem for the function f(x)=(x-a)^(m)(x-b)^(n) on the interval [a,b], where m,n are positive integers.

If the function f(x) defined as f(x)=-(x^(2))/(x),x 0 is continuous but not differentiable at x=0 then find range of n^(2)

The function f(x)=|cos x| is differentiable at x=(2n+1)pi/2,n in Z(b) continuous but not differentiable at x=(2n+1)pi/2,n in Z(c) neither differentiable nor continuous at x=n pi,n in Z(d) none of these