Rate of change of f over [x, x+h]
=
f(x+h)
-
f(x)
(x+h)
-
x
=
( (x+h)
2
-
2(x+h) )
-
(x
2
-
2x)
h
=
(x
2
+2xh+h
2
-
2x
-
2h)
-
(x
2
-
2x)
h
=
2xh + h
2
-
2h
h
The x
2
and 2x cancelled
=
2x + h
-
2
The h cancelled
Enter this as
2*x + h - 2
Just close this window to return to the tutorial.