Home
Class 12
MATHS
Let the function f(x) = sin x + cos x, b...

Let the function `f(x) = sin x + cos x`, be defined in `[0, 2pi]`, then `f(x)`

A

increases in `( pi//4, pi//2)`

B

decreases in `[pi//4, 5 pi//4]`

C

increases in `[0, pi//4] uu [ 5pi//4, 2pi]`

D

decreases in `[0, pi//4) uu (pi//2, 2pi]`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • MONOTONOCITY

    MOTION|Exercise Exercise - 2 (Level-II) ( Multiple Correct ) CHECKING MONOTONOCITY AT POINT OR IN AN INTERVAL|1 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 2 (Level-II) ( Multiple Correct ) PROVING INEQUATION BY MONOTONOCITY|1 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 2 (Level-I) ( Objective Problems ) (MIXED PROBLEMS )|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

The function f(x) = sin x - x cos pi is

Let the function f(x) = tan^(1-) (sin x + cos x) be defined on [ 0, 2 pi] Then f(x) is

Let the function f(x)=x^(2)+x+sin x-cos x+log(1+|x|) be defined on the interval [0,1]. Define functions g(x) and h(x) in [-1,0] satisfying g(-x)=-f(x) and h(-x)=f(x)AA x in[0,1]

The interval in which the function f(x)=sin x+cos x in x in[0,2 pi] is

Consider the function f(x)=|cos x|+|cos2x| defined on (0,pi) Then the number of pointsn (0,pi). where is not differentiable is

Verify Rolle's theorem for the following functions f(x)=sin x+cos x+5,x in[0,2 pi]

The function f(x) = (1-sin x + cos x)/(1+sin x + cosx) is not defined at x = pi . The value of f(pi) , so that f(x) is continuous at x = pi is

Define the function, f(x)=cos^(-1) (cos x)-sin^(-1) (sin x)" in "[0,2pi] and find the area bounded by the graph of the function and the x-axis.