The equation of a curve is y 4x px qx where p and q are positive constants i) Show that the curve has only one stationary point when p 2 3 q ii) In the case where p 1 2 and q 6, find the set of values of x for which y is a decreasing function of x ...

i To find the stationary points on the curve we need to find where the derivative of the curve is eq ...

The equation of a curve is y = 4x + px + qx where p and q

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The equation of a curve is y = 4x³ + px² + qx where p and q are positive constants.

i) Show that the curve has only one stationary point when p = 2³√q.

ii) In the case where p = 1/2 and q = −6, find
the set of values of x for which y is a
decreasing function of x.

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Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

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Question Posted: Apr 14, 2023 11:22 AM

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The equation of a curve is y = 4x + px + qx where p and q

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i To find the stationary points on the curve we need to find where the derivative of the curve is eq...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

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