f(x+h) - f(x)

h
=
1

x+h
-
1

x

h
=
x - (x+h)

x(x+h)h
We subtracted the fractions in the numerator
Note that dividing by h puts it in the denominator
=
-h

x(x+h)h
=
-1

x(x+h)
We canceled the "h"


Just close me to return to the tutorial.