Home
Class 11
MATHS
Let f(x) be non-constant differentiable ...

Let f(x) be non-constant differentiable function for all real x and f(x) = f(1-x) Then Roole's theorem is not applicable for f(x) on

A

[0,1]

B

[-1,2]

C

[-2,3]

D

`[0,(2)/(3)]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-I (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|1 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-I))|41 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos
  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - II) (Linked Comprehension Type Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be twice differentiable function for all real x and f(1) = 1, f(2) = 4 , f(3) = 9. Then which one of the following statements is definitelly true ?

Let f be continuous and differentiable function such that f(x) and f(x) have opposite signs evergywhere . Then

If f(x)={{:(x,olexle1),(2-x,1lexle2'):} then Rolle's theorem is not applicable to f(x) because

Define f(x)={{:(x",",0lexle1),(2-x,,1lexle2):} then Rolles theorem is not applicable to f(x) because

Let f(x) and g(x) be differentiable functions for 0 le x le 1 such that f(0) = 2, g(0) = 0, f(1) = 6 . Let there exist a real number c in (0,1) such that f ’(c) = 2 g ’(c), then g(1) =

Let f be differentiable for all x. If f(1) = -2 and f'(x) ge 2 for all x in [1,6] , then

Let f be a function which is continuous and differentiable for all real x. If f(2) = -4 and f'(x) ge 6 for all x in [2,4] , then

For real x, let f(x) =x^(3) + 5x+1 , then