Question

Find the equation of tangent to the curve y =root x at the point where tangent drawn makes an angle pi/4 with '+' x-axis :​

Answer 1

Step-by-step explanation:

y

2

=x

Differentiatie both sides w.r.t. x

2y

dx

dy

=1

dx

dy

=

2y

1

Also, tangent makes an angle of

4

π

with x axis

dx

dy

=tan

4

π

=1

∴

2y

1

=1

y=

2

1

Put value of y in equation y

2

=x

x=

4

1

Point (

4

1

,

2

1

)

Hooe it will help you