Home
Class 12
MATHS
Let g(x)=f(x) +f'(1-x) and f''(x) lt 0 ,...

Let g(x)=`f(x) +f'(1-x) and f''(x) lt 0 ,0 le x le 1` Then

A

`phi(x)` decreases in (0, 1)

B

`phi(x)` increases in (0, 1)

C

`phi(x)` decreases in `(0, 1//2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 3

    MTG-WBJEE|Exercise CATEGORY 3 : One or More than One Option Correct Type|10 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(x) = {{:(-1,-2 le x lt 0),(x^2-1,0 le x le 2):} and g(x)=|f(x)|+f(|x|) . Then , in the interval (-2,2),g is

f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the interval

Let f(x) be defined on [-2,2] and is given by f(x) = {{:(x+1, - 2le x le 0 ),(x - 1, 0 le x le 2):} , then f (|x|) is defined as

Let f (x)= {{:(a-3x,,, -2 le x lt 0),( 4x+-3,,, 0 le x lt 1):},if f (x) has smallest valueat x=0, then range of a, is

Let f(x) = {{:( x^(3) + x^(2) - 10 x ,, -1 le x lt 0) , (sin x ,, 0 le x lt x//2) , (1 + cos x ,, pi //2 le x le x ):} then f(x) has

Let f(x)={{:(,x^(3)+x^(2)-10x,-1 le x lt 0),(,cos x,0 le x lt pi/2),(,1+sin x,pi/2 le x le x):}" Then at "x=pi/2 , f(x) has:

Let f(x) = {(x "sin" (pi)/(x)",",0 lt x le 1),(0,x =0):} . Then f'(x) = 0 for

Let f(x) and g(x) be two functions given by f(x)=-1|x-1|,-1 le x le 3 and g(x)=2-|x+1|,-2 le x le 2 Then,