Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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Find the Derivative of F (X) = 99x at X = 100 - Mathematics

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Find the derivative of f (x) = 99x at x = 100 

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Solution

\[f'(100) = \lim_{h \to 0} \frac{f(100 + h) - f(100)}{h}\]
\[ = \lim_{h \to 0} \frac{99(100 + h) - 99(100)}{h}\]
\[ = \lim_{h \to 0} \frac{9900 + 99h - 9900}{h}\]
\[ = \lim_{h \to 0} \frac{99h}{h}\]
\[ = \lim_{h \to 0} 99\]
\[ = 99\]

 

Concept: The Concept of Derivative - Algebra of Derivative of Functions
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 30 Derivatives
Exercise 30.1 | Q 3 | Page 3

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