JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

Let

f(x)=2 \sin ^3 x-3 \sin ^2 x+12 \sin x+5

0 \leq x \leq \frac{\pi}{2}

. Then,

f(x)

, is

View answer and explanation

Correct option: B

Increasing on

[0, \pi / 2]

Option B (Increasing on

[0, \pi / 2]

) is correct because the derivative of

f(x)

is positive on the interval

[0, \pi / 2]

, indicating that the function is increasing.

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

x

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a

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\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)