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Question
Find the derivative of f (x) = 99x at x = 100
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Solution
\[ = \lim_{h \to 0} \frac{99(100 + h) - 99(100)}{h}\]
\[ = \lim_{h \to 0} \frac{9900 + 99h - 9900}{h}\]
\[ = \lim_{h \to 0} \frac{99h}{h}\]
\[ = \lim_{h \to 0} 99\]
\[ = 99\]
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