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Thread: differentiate

  1. March 9th 2009, 10:03 AM #1
    Help15
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    Smile differentiate

    Hi
    I have been trying to solve this problem for a while but I don't understand how to do it. I know its related to finding deravatives and solving it.

    Find values for a,b, and c such that the graph of y=ax^2 + bx + c has a relative maximum at (3,12) and crosses the y-axis at (0,1).

    If anyone could explain me how to solve it it'll be greatly appreciated.

    Thank you.
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  2. March 9th 2009, 11:22 AM #2
    red_dog
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    Let f(x)=ax^2+bx+c

    f'(3)=0\Rightarrow 6a+b=0

    f(3)=12\Rightarrow 9c+3b+c=12

    f(0)=1\Rightarrow c=1

    Now solve the system.
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