Hey Luckycharms1233,
Lets find the product of your equation together,
Lets simplify this step by step, shall we.
We want to find the [tex]derivative\:of\:F\left(x\right)=-x^2-x+2[/tex].
[tex]\dfrac{d}{dx}\left(-x^2-x+2\right)[/tex]
Now we have to [tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)^'=f^'\pm g^'[/tex].
This leads to : [tex]-\frac{d}{dx}\left(x^2\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(2\right)[/tex].
Now we simplify.
[tex]\dfrac{d}{dx}\left(x^2\right)=2x[/tex]
[tex]\dfrac{d}{dx}\left(x\right)=1[/tex]
[tex]\dfrac{d}{dx}\left(2\right)=0[/tex]
Finally we arrive at : [tex]-2x-1+0[/tex]
This can be simplified to [tex]-2x-1[/tex]
Our graph should look like the one below
Hope this helps,
AnthrαX
