Show that the tangents to the curve y = 7x³ + 11 at the points where x = 2 and

Question

Show that the tangents to the curve y = 7x 3 + 11 at the points where x = 2 and x = – 2 are parallel.

Philoid · Accepted Answer

The given curve y = 7x³ + 11

Then, the slope of the tangent to the given curve at x = 4 is given by,

It is cleared that the slopes of the tangents at the points where x = 2 and x = -2 are equal.

Therefore, the two tangents are parallel.