Question

find the points on the curve given by y=x cube -6x sqaure +x+3 where the tangent are parallel to the line y= x+5

Answer 1

Answer:

Answer

Correct option is

A

x=±

3

1

,y=

3

1

.

3

1

.

Hence slope of tangents

=tan60

0

=

3

=

dx

dy

Hence

dx

dy

=3x

2

=

3

Or

x

2

=

3

1

Hence

x=±

3

1

.

Thus y

=

3

1

.

3

1

.