Home
Class 12
MATHS
Let f be a differentiable function from ...

Let f be a differentiable function from R to R such that `|f(x) - f(y) | le 2|x-y|^(3/2)," for all " x, y in R. "If " f (0) = 1, " then" _(0)^(1) int f^(2) (x) ` dx is equal to

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 23|15 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 24|15 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 21|15 Videos

  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-2 (CONCEPT APPLICATOR)|30 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Let f be a differentiable function defined on R such that f(0) = -3 . If f'(x) le 5 for all x then

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 to R such that f(x+y)+f(x-y)=2f(x)f(y) for all x,y in R . Then,

Let f(x) is a differentiable function on x in R , such that f(x+y)=f(x)f(y) for all x, y in R where f(0) ne 0 . If f(5)=10, f'(0)=0 , then the value of f'(5) is equal to

If f is a real- valued differentiable function satisfying |f(x) - f(y)| le (x-y)^(2) ,x ,y , in R and f(0) =0 then f(1) equals

Let f be any function defined on R and let it satisfy the condition : | f (x) - f(x) | le ( x-y)^2, AA (x,y) in R if f(0) =1, then :