- #1

Duderonimous

- 63

- 1

## Homework Statement

y'=y[itex]^{3}[/itex]-y[itex]^{2}[/itex]-12y

For what values of y is y(t) increasing and for what values is it decreasing?

## Homework Equations

## The Attempt at a Solution

I think you take the second derivative and equal it to zero to figure out the inflection pints right and then I am not so sure from there.

y''=3y[itex]^{2}[/itex]-2y-12

0=3y[itex]^{2}[/itex]-2y-12

Quadratic formula

y=[itex]\frac{2\pm2\sqrt{37}}{6}[/itex]

Am I correct in this approach? I don't think I am.