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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Application +4 | -1
f(x)=x3−6x2−36x+2f\left( x \right) = {x^3} - 6{x^2} - 36x + 2 is decreasing function, then x∈x \in
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Correct option: C
(−2,  6)\left( { - 2,\;6} \right)
Option C ((-2, 6)) is correct because the function is decreasing when its derivative is negative, which occurs in the interval (-2, 6).

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