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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Application +4 | -1
If f(x)=x3−6x2+9x+3f\left( x \right) = {x^3} - 6{x^2} + 9x + 3 be a decreasing function, then xx lies in
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Correct option: B
(1,  3)\left( {1,\;3} \right)
Option B ((1,  3)\left( {1,\;3} \right)) is correct because the function is decreasing when its derivative is negative, which occurs in this interval.

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