JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

Let the function

f(x)=\tan ^{-1}(\sin x+\cos x)

be defined on

[0,2 \pi]

. Then,

f(x)

View answer and explanation

Correct option: A

Increasing on

[0, \pi / 4) \cup(5 \pi / 4,2 \pi]

Option A is correct. The function is increasing where its derivative is positive, which occurs on the intervals

[0, \pi / 4) \cup(5 \pi / 4,2 \pi]

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

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a

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f

g

fog

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

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