Home
Class 11
MATHS
Let f be differentiable for all x. If f...

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

A

`f(6) lt 8`

B

`f(6) ge8`

C

`f(6) ge5`

D

`f(6) le 5`

Text Solution

Verified by Experts

The correct Answer is:
B
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 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

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 : (-1, 1) to R be a differentiable function with f(0) = -1 and f'(0) = 1 . Let g(x) = [f(2f(x) + 2)]^2 . Then g'(0) is equal to

Let f be twice differentiable function such that f^11(x) = -f(x) "and " f^1(x) = g(x), h(x) = (f(x))^2 + (g(x))^2) , if h(5) = 11 , then h(10) is