Let $f(x) = %0$. Use the definition of the derivative to calculate $f'(x)$ algebraically as follows:
$f(x) = {}$
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$f(x+h) = {}$
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Do not expand yet.
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$f(x+h) - f(x) = {}$
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You need not simplify yet.
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$f(x+h) - f(x) = {}$
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Subtract the fractions and simplify the numerator
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$\displaystyle \frac{f(x+h) - f(x)}{h} = {}$
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$f'(x) = {}$
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In particular, $f'(%1) = {}$
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RANDOMIZE