Below we see the results of the code from the previous activity. Do you see a pattern? You should notice that for all of the power functions, the derivative has the power as a coefficient, and the power has gone down by 1. For example the derivative of f[sub]3[/sub](x)=x[sup]3[/sup] is 3x[sup]2[/sup]. You should also notice the derivative of the constant function, f[sub]0[/sub], is 0. This last one shouldn't surprise you though since you know Monkey Rule 0, and constant functions (and the identify function!) are just linear functions.

From the above, we are able to conclude that these are the first two monkey rules:[br][br][b]Monkey Rule 1[/b]: The derivative of any power function x[sup]n[/sup] has derivative nx[sup]n-1[/sup].[br][br][b]Monkey Rule 2[/b]: The derivative of any constant function is 0.[br][br]Move ahead to keep learning about additional Monkey Rules