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Math Help - Find the values a, b, and c so that f(x)...

  1. #1
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    Find the values a, b, and c so that f(x)...

    has a critical point at (1,5) and an inflection point at (2,3).
    f(x)=x^3+ax^2+bx+c
    Thanks!
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  2. #2
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    Re: Find the values a, b, and c so that f(x)...

    Quote Originally Posted by citcat View Post
    has a critical point at (1,5) and an inflection point at (2,3).
    f(x)=x^3+ax^2+bx+c
    Well you know that:
    f(1)=5~\&~f(2)=3 , f'(1)=0~\&~f''(2)=0.
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  3. #3
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    Re: Find the values a, b, and c so that f(x)...

    Thanks! I accidentally used the first derivative for the point of inflection instead of the second.
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