The Derivative Game
Delta - X:
Delta - Y:
The value above is how much the function changes between a and a + Delta -X.
Delta - X
--------
Delta - Y:
The above value is the ratio of Delta X and Delta Y. If the derivative exists, then this value approximates the derivative.
Choose a function for f(x):
x^2
3x-5
sin x
e^x
square root
Choose a value for a, the value where the limit is taken:
Pick a function and a point a where the derivative is taken. First try changing Delta - X by making it smaller, while keeping the function and point fixed. Then try different points and functions.