Home
Class 12
MATHS
Find interval (s) in which the function ...

Find interval (s) in which the function `f(x) = sin x + cos x, x in (0, pi//2)` is increaing or decreasing.

Text Solution

Verified by Experts

The correct Answer is:
`x = (pi)/(4)`
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

Find the interval where the function f(x) = sin x + cos x, x in [0, 2pi] is increasing.

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

Find the interval on which the function f(x)= x^x decreases.

Find the intervals in which the function f(x) = 2x^3 + 9x^2 + 12x + 20 is increasing and decreasing.

Find the intervals in which the function f given by f(x) = 4x^(3) - 6x^(2) - 72x + 30 is increasing and decreasing.

Find the interval for which the function f(x) = tanx- 4 (x- 2) is increasing and decreasing in (-pi/2,pi/2) .

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