Question

F(x)=-x^2-x+2 Please help. I suck at math and it’s so hard

Answer 1

Hey Luckycharms1233, 

Lets find the product of your equation together, 

          Lets simplify this step by step, shall we. 

We want to find the $derivative\:of\:F\left(x\right)=-x^2-x+2$. 

$\dfrac{d}{dx}\left(-x^2-x+2\right)$ 

Now we have to $\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)^'=f^'\pm g^'$. 

This leads to : $-\frac{d}{dx}\left(x^2\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(2\right)$. 

        Now we simplify. 

$\dfrac{d}{dx}\left(x^2\right)=2x$ 

$\dfrac{d}{dx}\left(x\right)=1$ 

$\dfrac{d}{dx}\left(2\right)=0$ 

     Finally we arrive at : $-2x-1+0$ 

This can be simplified to $-2x-1$ 

          Our graph should look like the one below 

Hope this helps, 

        AnthrαX