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

1. ## 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!

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

Originally Posted by citcat
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:
$f(1)=5~\&~f(2)=3$ , $f'(1)=0~\&~f''(2)=0.$

3. ## 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.