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Recall that the derivative is the limit of the difference quotient. \[\lim_{h\to0}\frac{f(x+h)-f(x)}{h}\] Use the smallest possible value for h to get the best approximation
Let h = -0.02 \[\frac{f(2+(-0.02)) - f(2)}{-0.02} = \frac{f(1.98)-f(2)}{-0.02}=\frac{5.10-5}{-0.02}=-5\]
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