Find a point on the curve , where the tangent to the curve is parallel to the chord joining the points (1, 1) and (3, 27).

Question

Philoid · Accepted Answer

Given:

Since y is a polynomial function.

It is continuous and differentiable in [1,3]

So, there exists a c such that:

⇒ f' (c)=3c²

⇒ 3c²=13

So the point is