Home
Class 12
MATHS
Show that f(x)=x^2-xsinx is an increasin...

Show that `f(x)=x^2-xsinx` is an increasing function on `(0,\ pi//2)` .

A

increasing for `0 le x le pi//2`

B

decreasing for `0 le x le pi//2`

C

decreasing for `[ pi//4, pi//2]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MONOTONOCITY

    MOTION|Exercise Exercise - 1 ( Objective Problems ) ( SECTION -B ) (FINDING VALUE OF VARIABLE GIVEN MONOTONIC BEHAVIOUR )|2 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 1 ( Objective Problems ) ( SECTION-C ) (CHECKING MONOTONOCITY AT POINT OR IN AN INTERVAL )|4 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos
  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos
  • PARABOLA

    MOTION|Exercise EXERCISE - IV|33 Videos

Similar Questions

Explore conceptually related problems

Show that f(x)=x^(2)-x sin x is an increasing function on (0,pi/2)

Show that f(x)=x^(2)-x sin x is an increasing function on (0,(pi)/(2))

Show that f(x)=sin x is an increasing function on (-pi/2,pi/2)

Show that f(x)=sin x-cos x is an increasing function on (-pi/4,pi/4)

Show that f(x)=cos^(2)x is a decreasing function on (0,pi/2)

Show that f(x)=tan x is an increasing function on (-pi/2,pi/2)

Show that f(x)=cos(2x+pi/4) is an increasing function on (3 pi/8,7 pi/8)

Show that f(x)=cos(2x+(pi)/(4)) is an increasing function on (3 pi/8,7 pi/8)

Show that f(x)=tan^(-1)(sin x+cos x) is an increasing function on the interval (0,pi/4)

Show that f(x)=cos^(2)x is decreasing function on (0,(pi)/(2))