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Find the derivative of 99x at x = 100

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Find the derivative of $99 x$ at $x = 100$

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Find the derivative of

99 x

x = 100

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Text solutionVerified

Let

f (x) = 99 x

Thus

f^{^{'}} (100) = h \to 0 lim \frac{f ( 100 + h ) - f ( 100 )}{h}

= h \to 0 lim \frac{99 ( 100 + h ) - 99 ( 100 )}{h}

= h \to 0 lim \frac{99 \times 100 + 99 h - 99 \times 100}{h}

= h \to 0 lim \frac{99 h}{h} = 99

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