Tangents to the curve y = x3 at x = –1 and x = 1 are |
parallel intersecting obliquely but not at an angle of 45° perpendicular to each other intersecting at an angle of 45° |
parallel |
$y=x^3 \Rightarrow \frac{d y}{d x}=\left.3 x^2 \Rightarrow \frac{d y}{d x}\right|_{x=-1}=3$ and $\left.\frac{d y}{d x}\right|_{x=1}=3$. Hence tangents are parallel. |