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The abscissa of the points, where the ta...

The abscissa of the points, where the tangent to curve `y=x^(3)-3x^(2)-9x+5` is parallel to X-axis are

A

`x=0` and 0

B

`x=1` and -1

C

`x=1` and -3

D

`x=-1` and 3

Text Solution

Verified by Experts

The correct Answer is:
D
Given `y=x^(3)-3x^(2)-9x+5`
`implies (dy)/(dx)=3x^(2)-6x-9`
Since the tangent is parallel to X-axis.
`:.(dy)/(dx)=0implies3x^(2)-6x-9=0`
`impliesx=-1,3`
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