The curve y = x 3 + ax 2 + b has a stationary point at (4,

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The curve y = x³ + ax² + b has a stationary point at (4, −27).

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

b. Determine the nature of the stationary point (4, −27).

c. Find the coordinates of the other stationary point on the curve and determine the nature of this stationary point.
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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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 10, 2023 11:24 PM

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The curve y = x 3 + ax 2 + b has a stationary point at (4,

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a To find the value of a and b we need to differentiate the function y with respect to x and set it ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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