The curve y = 2x 3 + ax 2 + bx + 7 has a stationary point
Question:
The curve y = 2x3 + ax2 + bx + 7 has a stationary point at the point (2, −13).
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.
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Step by Step Answer:
a To find the value of a and b we need to differentiate the given equation and equate it to zero as the curve has a stationary point at 2 13 dydx 6x2 ...View the full answer
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Related Book For 
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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