Example: Find the derivative of f(x) = x and of f(x) = 1 / x

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1. If f(x) = x, then = (x - c) / (x - c) = 1 so that f'(x) = 1 for all x.
2. If f(x) = 1 / x, then = (1/x - 1 / c) / (x - c) = (c - x) / (x - c) * 1 / (x c) = - 1 / , so that f'(x) = - 1 / for all x not equal to zero.

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