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)

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Chapter2: Second-order Linear Odes
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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
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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