JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

The length of the longest interval, in which the function

3\sin x - 4{\sin ^3}x

is increasing, is

View answer and explanation

Correct option: A

\frac{\pi }{3}

Option A (

\frac{\pi}{3}

) is correct because the function can be simplified to

\sin(3x)

, which increases over an interval of length

\frac{\pi}{3}

More Questions from INCREASING & DECREASING

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

x

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

a

f(x)=

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

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

f

g

fog

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

0 < {b^2} < c

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