Hi, can someone help me guide me on how to find inflections? I am not too sure how to do it in such a problem as the follows:(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Determine a, b, and c so that the function

f(x) = x^3 + ax^2 + bx + c has critical points at (1,5) and an inflection point at (2,3)

2. Relevant equations

3. The attempt at a solution

I am not too sure how to persue this, for critical points I know the derivative needs to equal zero and then you find the critical points that way, but I dont know what to do for the inflection.

Thank You!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Inflection help

**Physics Forums | Science Articles, Homework Help, Discussion**