Question

Find the angle between the tangent lines at the point of intersection of curves y=x³ and 6y =x³​

Answer 1

Answer:

ANSWER

y

1

′

=2x

y

1

′

∣

(1,1)

=2=m

1

6y

2

′

=−3x

2

⇒y

2

′

=

2

−1

x

2

y

2

′

∣

(1,1)

=−

2

1

=m

2

m

1

m

2

=−1

∴ angle between the curves is

2

π