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Find the Derivative of F (X) X at X = 1

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Question

Find the derivative of f (xx at x = 1

 

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Solution

We have: 

\[f'(x) = \lim_{h \to 0} \frac{f(1 + h) - f(1)}{h}\]
\[ = \lim_{h \to 0} \frac{1 + h - 1}{h}\]
\[ = \lim_{h \to 0} 1\]
\[ = 1\]

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Chapter 30: Derivatives - Exercise 30.1 [Page 3]

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R.D. Sharma Mathematics [English] Class 11
Chapter 30 Derivatives
Exercise 30.1 | Q 4 | Page 3

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