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Find the derivative of 99x at x = 100. - Mathematics

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Question

Find the derivative of 99x at x = 100.

Sum

Solution

`f'(a) = lim_(x → a) (f(a + h) - f(a))/h`

`f'(100) = lim_(h → 0) (99 (100 + h) - 99 xx 100)/h`

= ` lim_(h → 0) (99 xx 100 + 99h - 99 xx 100)/h`

= `= lim_(h → 0)(99 xx h)/h`

= 99

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Chapter 13: Limits and Derivatives - Exercise 13.2 [Page 312]

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NCERT Mathematics [English] Class 11
Chapter 13 Limits and Derivatives
Exercise 13.2 | Q 2 | Page 312

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