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

• August 27th 2012, 08:23 AM
citcat
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!
• August 27th 2012, 08:32 AM
Plato
Re: Find the values a, b, and c so that f(x)...
Quote:

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:
$f(1)=5~\&~f(2)=3$ , $f'(1)=0~\&~f''(2)=0.$
• August 27th 2012, 08:44 AM
citcat
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.