Home
Class 12
MATHS
Prove that the function f(x)=tanx-4x is ...

Prove that the function `f(x)=tanx-4x` is strictly decreasing on `(-pi//3,\ pi//3)` .

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (a) (Short Answer Type Questions)|15 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (a) (Long Answer Type Questions (I))|15 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Frequently Asked Questions|44 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Prove that the function f(x)=tan x-4x is strictly decreasing on (-pi/3,pi/3)

Prove that the function f(x)=[x]-x is strictly decreasing on [0,1).

Prove that the function f(x)=cos x is strictly decreasing in (0,pi)

Prove that the function f(x)=cos x is strictly increasing in (pi,2 pi)

Prove that the function f(x)=cos^(2)x is strictly decreasing in (0,(pi)/(2))

show that the function f(x)=tan x-4x is a strictly decreasing function on (-(pi)/(3),(pi)/(3))

Prove that the function f given by f(x)=log cos x is strictly decreasing on (0, (pi)/(2)) .

Show that the function f(x)=-3x+12 is strictly decreasing function on R .

Show that the function f(x) = 3 - 2x is strictly decreasing function on R.

Prove that the function f given by f(x)=log cos x is strictly increasing on (-pi/2,0) and strictly decreasing on (0,pi/2)