- #1
AdiV
- 15
- 0
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:
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)
I am not too sure how to pursue this, for critical points I know the derivative needs to equal zero and then you find the critical points that way, but I don't know what to do for the inflection.
Thank You!
Homework Statement
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)
Homework Equations
The Attempt at a Solution
I am not too sure how to pursue this, for critical points I know the derivative needs to equal zero and then you find the critical points that way, but I don't know what to do for the inflection.
Thank You!