Find the points on the curve , where the tangent to the curve is parallel to the chord joining (1, − 2) and (2, 2).

Question

Philoid · Accepted Answer

Given:

y=x³-3x

Since y is a polynomial function.

It is continuous and differentiable in [1,2]

So, there exists a c such that:

=4

⇒ f' (c)=3c²-3

⇒ 3 c²-3=4

⇒ 3c²=7

So, the points are