Calculus Note Intro Derivative - Berkeley City College
To nd the derivative of fat 0, we need to use the de nition: f0(0) = lim h!0 j0 + hjj 0j h = lim h!0 jhj h From previous examples we already knew that this limit does not exist, since lim h!0 jhj h = 1 while lim h!0+ jhj h = 1. If we look at the graph of the jxjfunction we see that there’s a sharp corner at x= 0. E.g. f(x) = 3 p xis non-di ...
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