Home
Class 12
MATHS
Let R be the set of all real numbers. If...

Let R be the set of all real numbers. If f:R`rarr`R is a function such that
`|f(x)-f(y)|^2le|x-y|^3, AA x,y in R`, then f'(x) is equal to

A

f(x)

B

1

C

0

D

`x^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f:R rarr R be a function such that f(x+2y)=f(x)+f(2y)+4xy, AA x,y and f(2) = 4 then, f(1)-f(0) is equal to

Let f:R rarr R be a function such that f(x+y)=f(x)+f(y),AA x,y in R

Let f:R rarr R be a function such that |f(x)-f(y)|<=6|x-y|^(2) for all x,y in R. if f(3)=6 then f(6) equals:

Let f:R rarr R be a continuous function such that |f(x)-f(y)|>=|x-y| for all x,y in R then f(x) will be

If f:R rarr R is continuous such that f(x+y)=f(x)*f(y)AA x,y in R and f(1)=2 then f(100)=

Let R be the set of real numbers and f : R to R be such that for all x and y in R, f(x) -f(y)|^(2) le (x-y)^(3) . Prove that f(x) is a constant.

Let f:R rarr R be a function given by f(x+y)=f(x)f(y) for all x,y in R .If f'(0)=2 then f(x) is equal to

If f:R rarr R be a differentiable function such that f(x+2y)=f(x)+f(2y)+4xy, AA x,y in R , f(2)=10 , then f(3)=?