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Find the Derivative of F (X) = 99x at X = 100

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प्रश्न

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

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उत्तर

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

 

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अध्याय 30: Derivatives - Exercise 30.1 [पृष्ठ ३]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 30 Derivatives
Exercise 30.1 | Q 3 | पृष्ठ ३

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