Posted by **Andres** on Wednesday, October 12, 2011 at 7:10pm.

Determine the x-value for each inflection point on the graph of the following function.

f(x)=3x^5-5x^4-80x^3+360x^2+1000x+850

- Calc -
**Steve**, Wednesday, October 12, 2011 at 7:58pm
inflection at y'' = 0

y' = 15x^4 - 20x^3 - 240x^2 + 720x + 1000

y'' = 60x^3 - 60x^2 - 480x + 720

so solve y'' = 0

x^3 - x^2 - 8x + 12 = 0

(x-2)(x-2)(x+3) = 0

There you have the x values. I trust you can evaluate y(x) to get the rest.

- Calc -
**Andres**, Wednesday, October 12, 2011 at 8:01pm
so would the inflection point be x=-3 because thats where it goes from decreasing to increasing

- Calc -
**in the same class**, Wednesday, October 12, 2011 at 9:56pm
yes

## Answer this Question

## Related Questions

- Calculus - Determine the x-value for each inflection point on the graph of the ...
- Calculus - Determine the x-value for each inflection point on the graph of the ...
- Calculus - Let f be the function defined by f(x)= x^3 + ax^2 +bx + c and having ...
- Calc - Consider the cubic polynomial y=Ax^3 +6x^2 -Bx, where A and B are unknown...
- Calculus (Urgent Help) - Okay, I need major help! Can someone tell me if these ...
- calc - f(x) is a polynomial function such that f(-2)=5, f'(-2)=0, and f''(-2)=+3...
- Pre-calc - Let p(x,y) be a point on the graph of y= X^2-3 A) Express the ...
- Calculus - Let f(x) be a polynomial function such that f(4)=-1, f’(4)=2 and f”(4...
- calculus ..>steve - Given a function f(x)2/3x^3+5/2x^2-3x. a) Find i. The ...
- calc. - I'm having a lot of trouble with this problem: Sketch the graph and show...

More Related Questions