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The interval in which the function y=x^(...

The interval in which the function `y=x^(3)+5x^(2)-1` is decreasing is

A

`(0,10/3)`

B

`(0,10)`

C

`((-10)/3,0)`

D

`(2,9)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given `y=x^(3)+5x^(2)-1`
`(dy)/(dx)=3x^(2)+10x=x(3x+10)`
For function to be decreasing `(dy)/(dx)lt0`
`:.x(3x+10)lt0`
`implies(-10)/3lt x lt 0`
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