Critical numbers and open intervals

I'm stuck on a calculus problem on a practice exam! So if anyone could help me out that would be fantastic!

The equation is y= __x^3__ + __x^2__ - 6X

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Find all critical numbers and open intervals (increasing and decreasing)

thanks!!

Re: Critical numbers and open intervals

Solve $\displaystyle \frac{dy}{dx}=0$

Re: Critical numbers and open intervals

I guess I dont understand...do you use chain rule? which confuses me as well

Re: Critical numbers and open intervals

You won't need the chain rule here.

Consider the rule if $\displaystyle y= x^n \implies \frac{dy}{dx}= nx^{n-1}$

If your equation is $\displaystyle y= \frac{x^3}{3}+\frac{x^2}{2}-6x$ use the rule term by term.

Re: Critical numbers and open intervals

So would the correct answer be y'= 3x^2 + 2x - 6?

Re: Critical numbers and open intervals

It would be $\displaystyle y' = x^2 + x - 6$ now solve for $\displaystyle y'=0$