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August 28, 2015

Homework Help: Calculus AB

Posted by Savannah on Friday, November 18, 2011 at 4:57pm.

Find a, b, c, and d such that the cubic function ax^3 + bx^2 + cx + d satisfies the given conditions

Relative maximum: (2,4)
Relative minimum: (4,2)
Inflection point: (3,3)

So this is what I have so far:

f'(x) = 3a^2 + 2bx + c
f''(x) = 6ax + 2b

f(2) = a(8) + b(4) + c(2) + d= 4
f(4) = a(64) + b(16) + c(4) + d = 2

--> 30a + 6b + c = -1

Am I going in the right direction? If I am, what do I do next? Thanks.

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