JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Medium

1 of 1

Application +4 | -1

f\left( x \right) = \sin x - \cos x

, the interval in which function is decreasing in

0 \le x \le 2\pi

, is

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because the interval in which the function is decreasing does not match any of the given options after calculating the derivative and finding the interval.

More Questions from INCREASING & DECREASING

Practice All Chapter MCQs →

If the function

f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

is increasing for all values of

x

, then The set of values of a for which the function

f\left( x \right) = {x^2} + ax + 1

is an increasing function on [1,2] is The value of

a

in order that

f(x)=

\sin x-\cos x-a x+b

decreases for all real values is given by The function

f(x)=x e^{x(1-x)}, x \in R

, is If

f

and

g

are two increasing functions such that

fog

is defined, then If

f\left( x \right) = {x^3} + b{x^2} + cx + d

and

0 < {b^2} < c

, then in

\left( { - \infty ,\;\infty } \right)