JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Medium

1 of 1

Application +4 | -1

f(x)=(m+2) x^3-3 m x^2+9 m x-1

decreases on

\mathbb{R}

, then

m

belongs to

View answer and explanation

Correct option: A

(-\infty,-3) \cup(0, \infty)

Option A

((-\infty,-3) \cup(0, \infty))

is correct because for

f(x)

to be decreasing on

\mathbb{R}

f'(x) \leq 0

for all

x

, which leads to the given interval for

m

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

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f

g

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