Suppase that the cubic function f(x) = x² + ax² + bx +c has a relative maximum at x = a and a relative minimum at x = B. Prove that a +B = -24 (i) Deduce that the point of inflexion occurs at a + B 2 (ii)
Suppase that the cubic function f(x) = x² + ax² + bx +c has a relative maximum at x = a and a relative minimum at x = B. Prove that a +B = -24 (i) Deduce that the point of inflexion occurs at a + B 2 (ii)
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Transcribed Image Text:Suppose that the cubic function f(x) = x² + ax² + bx +c has a relative
maximum at x = a and a relative minimum at x = B.
(1)
-2a
Prove that a + ß =
Deduce that the point of inflexion occurs at
a + B
(ii)
2
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