Home
Class 12
MATHS
Let f be differentiable for all x , If f...

Let `f` be differentiable for all `x ,` If `f(1)=-2a n df^(prime)(x)geq2` for all `x in [1,6],` then find the range of values of `f(6)dot`

A

`f(6)lt8`

B

`f(6)ge8`

C

`f(6)=5`

D

`f(6)lt5`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 3

    MTG-WBJEE|Exercise CATEGORY 2 : SINGLE OPTION CORRECT TYPE|15 Videos
  • MODEL TEST PAPER 3

    MTG-WBJEE|Exercise CATEGORY 3 : One or More than One Option Correct Type|10 Videos
  • MODEL TEST PAPER 2

    MTG-WBJEE|Exercise CATEGORY 3 : One or More than One Option Correct Type|10 Videos
  • PERMUTATIONS AND COMBINATIONS

    MTG-WBJEE|Exercise WB JEE Previous years questions (Category 3 : More than One Option correct type)|1 Videos

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)

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).

Suppose f is a differentiable real function such that f(x)+f^(prime)(x)lt=1 for all x , and f(0)=0, then the largest possible value of f(1) is (1) e^(-2) (2) e^(-1) (3) 1-e^(-1) (4) 1-e^(-2)

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

Suppose that f is differentiable for all x and that f^(prime)(x)lt=2fora l lxdot If f(1)=2a n df(4)=8,t h e nf(2) has the value equal to 3 (b) 4 (c) 6 (d) 8