Unformatted text preview: m x m =mx m1 x m x m =mx m1 x 2 m =mx m12 m = nxm1 = nx n1 . We will later see why the other cases of the power rule work, but from now on we will use the power rule whenever n is any real number. Let’s note here a simple case in which the power rule applies, or almost applies, but is not really needed. Suppose that f ( x ) = 1; remember that this “1” is a function, not “merely” a number, and that f ( x ) = 1 has a graph that is a horizontal line, with slope zero everywhere. So we know that f ± ( x ) = 0....
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 Fall '07
 JonathanRogawski
 Math, Calculus, Power Rule, lim, Negative and nonnegative numbers

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