Home
Class 12
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 `x in [1, 6]`, then

A

`f(6) ge 8`

B

`f(6) lt 8`

C

`f(6) lt 5`

D

`f(6) = 5`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f be continuous on [1,5] and differentiable in (1,5) .if f(1) =-3 and f' (x) ge 9 for all x in (1,5) then : a) f (5) , ge 33 b) f (5) ge 36 c) f (5) le 36 d) f (5) ge 9

Let f(x) and g(x) be differentiable for 0 le x le 2 such that f(0) = 2, g(0) = 1, and f(2) = 8. Let there exist a real number c in [0, 2] such that f'(c) = 3g'(c) . Then find the value of g(2).

Let f : R to R be a differentiable function and f (1) = 4. Then the value of lim_( x to 1) int _(4) ^(f (x)) (2t)/(x -1) dt, if f '(1)= 2 is :

Let f be twice differentiable function such that f''(x)=-f(x) and f'(x)=g(x), h(x)={f(x)}^(2)+{g(x)}^(2) . If h(5) = 11, then h(10) is equal to :

Let f be a function such that f(1)=10 and f'(x) ge 2 for 1 le x lt 4 . How small can f(4) possible be ? a)8 b)12 c)16 d)10