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 all `x in[1,6]`, then the minimum value of f(6) is

A

4

B

2

C

8

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f be differentiable for all x, If f(1)=-2 and f'(x)>=2 for all x in[1,6] then find the range of values of f(6)

Let f(x) be a differentiable function in [2, 7] . If f(2) = 3 and f'(x) lt= 5 for all x in (2, 7), then the maximum possible value of f (x) at x=7 is

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

If f (x) is continous on [0,2], differentiable in (0,2) f (0) =2, f(2)=8 and f '(x) le 3 for all x in (0,2), then find the value of f (1).

If f(x)=px^(2)+qx+r and f(-2)=11,f(-1)=6,f(1)=2 then the minimum value of f(x) is

Let f(1)=-2, f'(x) ge4.2 for 1le x le6 . The smallest possible value of f(6)-16 is ……..