Hola mi amigos. Mi llamo Drew.
I don't actually speak Spanish.
Problem 81: y = − x 2 + x − 2 {\displaystyle y=-x^{2}+x-2}
[ ( − ( x + h ) 2 ) + ( x + h ) − 2 ] − [ − x 2 + x − 2 ] h {\displaystyle {\frac {[(-(x+h)^{2})+(x+h)-2]-[-x^{2}+x-2]}{h}}}
[ ( − ( x + h ) 2 ) + ( x + h ) − 2 ] + [ x 2 − x + 2 ] h {\displaystyle {\frac {[(-(x+h)^{2})+(x+h)-2]+[x^{2}-x+2]}{h}}}
[ ( − ( x 2 + 2 x h + h 2 ) ) + x + h − 2 ] + [ x 2 − x + 2 ] h {\displaystyle {\frac {[(-(x^{2}+2xh+h^{2}))+x+h-2]+[x^{2}-x+2]}{h}}}
[ ( − x 2 − 2 x h − h 2 ) + x + h − 2 ] + [ x 2 − x + 2 ] h {\displaystyle {\frac {[(-x^{2}-2xh-h^{2})+x+h-2]+[x^{2}-x+2]}{h}}}
[ − x 2 − 2 x h − h 2 + x + h − 2 ] + [ x 2 − x + 2 ] h {\displaystyle {\frac {[-x^{2}-2xh-h^{2}+x+h-2]+[x^{2}-x+2]}{h}}}
− x 2 − 2 x h − h 2 + x + h − 2 + x 2 − x + 2 h {\displaystyle {\frac {-x^{2}-2xh-h^{2}+x+h-2+x^{2}-x+2}{h}}}
− x 2 + x 2 − 2 x h − h 2 + h + x − x − 2 + 2 h {\displaystyle {\frac {-x^{2}+x^{2}-2xh-h^{2}+h+x-x-2+2}{h}}}
− 2 x h − h 2 + h h {\displaystyle {\frac {-2xh-h^{2}+h}{h}}}
2 x − h + 1 {\displaystyle 2x-h+1}