Math Help - Difference quotient

1. Difference quotient

ok so i have a big test tomorrow and i don't understand how to do this type of problem...

f(x)=x^2-x+1, (f(2+h)-f(2))/(H)

2. Originally Posted by Heather10
ok so i have a big test tomorrow and i don't understand how to do this type of problem...

f(x)=x^2-x+1, (f(2+h)-f(2))/(h)

$f(x)=x^2-x+1$

$\lim_{h \to 0}~\frac{(2+h)^2 - (2+h) +1 -[(2)^2 -2 +1]}{h}$

$\lim_{h \to 0}~\frac{4 + 4h + h^2 -2 -h +1 -4 + 2 -1}{h}$

$\lim_{h \to 0}~\frac{h^2+4h}{h}$