Translate the following phrase (accents are not necessary for this question): - I spent the whole summer trying to find a job, but I had no luck.

Me pase todo el verano tratando de encontrar un trabajo, pero no tuve suerte.

Find x given the following information: $$ x^2+7=25 $$

$$ x^2+7=25 $$ $$ x^2=18 $$ $$ x=\sqrt{18} $$ $$ x=3\sqrt{2} $$

Find the first derivative of the following equation: $$ f(x)=xe^x-x^2+1 $$

$$ f(x)=xe^x-x^2+1 $$ $$ f'(x)=x(\frac{d}{dx} e^x)+(\frac{d}{dx} x)e^x-(\frac{d}{dx} x^2)+(\frac{d}{dx} 1) $$ $$ f'(x)=xe^x+e^x-2x $$