JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

y = {\left\{ {x\left( {x - 3} \right)} \right\}^2}

increases for all values of

x

lying in the interval

View answer and explanation

Correct option: A

0 < x < \frac{3}{2}

Option A (

0 < x < \frac{3}{2}

) is correct because the derivative of the function is positive in this interval, 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}}

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