The curve y = 2x 3 3x 2 + ax + b has a stationary point

Question:

The curve y = 2x3 – 3x2 + ax + b has a stationary point at the point (3, - 77).

a. Find the value of a and the value of b.

b. Find the coordinates of the second stationary point on the curve.

c. Determine the nature of the two stationary points.

d. Find the coordinates of the point on the curve where the gradient is minimum and state the value of the minimum gradient.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: