JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

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Analyzing +4 | -1

The function

f(x)=\tan x-4 x

is strictly decreasing on

View answer and explanation

Correct option: A

\left(-\frac{\pi}{3}, \frac{\pi}{3}\right)

Option A ((-π/3, π/3)) is correct because the derivative of the function is negative within this interval, indicating a strictly decreasing function.

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

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