JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

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Analyzing +4 | -1

Let

f(x)= \begin{cases}-55 x, x < -5 \\ 2 x^3-3 x^2-120 x,-5 \leq x < 4 \\ 2 x^3-3 x^2-36 x+10, x \geq 4\end{cases}

Then the interval in which

f(x)

is monotonically increasing, is

View answer and explanation

Correct option: A

(-5,-4) \cup(4, \infty)

Option A ((-5,-4)

\cup

(4,

\infty

)) is correct because the derivative of the function is positive in these intervals, indicating a monotonically increasing function.

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