Home
Class 12
MATHS
Prove that the function f given by f(x) ...

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

Text Solution

Verified by Experts

The correct Answer is:
`((pi)/(2), pi)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - I (VERY SHORT ANSWER TYPE QUESTIONS )|4 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - I (SHORT ANSWER TYPE QUESTIONS )|4 Videos
  • AREA UNDER PLANE CURVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

Show that the function given by f(x) = e^(2x) is strictly increasing on R.

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

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

Prove that the function given by f(x) = x^3 – 3x^2 + 3x – 100 is increasing in R.

Find the intervals in which the function f given by f(x)=sinx+cosx, 0lexle2pi is strictly increasing or strictly decreasing.

Show that the function e^x/x^p is strictly increasing for x gt p gt 0 .

Determine the interval in which the function f(x) = 2x^(3) - 15x^(2) + 36 x + 1 is strictly increasing and strictly decreasing.

What is the interval in which f(x)=x^3-3x^2+3x-10 is strictly increasing ?

Find the intervals in which the function given by f(x) = sin 3x, x in [0, (pi)/(2)] is (i) increasing (ii) decreasing