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Let f(x)={(-55x,,,xlt-5),(2x^3-3x^2-120x...

Let `f(x)={(-55x,,,xlt-5),(2x^3-3x^2-120x,,,-5lexlt4),(2x^3-3x^2-36x+10,,,xge4):}`
Then interval in which f(x) is monotonically increasing is

A

`(-oo, -5) cup (4, oo)`

B

`(-5, oo)`

C

`(-oo, -5) cup (-4, oo)`

D

`(-5, -4) cup (4, oo)`

Text Solution

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The correct Answer is:
D
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