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Select the correct answer from the given alternative: If, f(x) = x5050+x4949+x4848+....+x22+x+1, thef f'(1) = - Mathematics and Statistics

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Question

Select the correct answer from the given alternative:

If, f(x) = `x^50/50 + x^49/49 + x^48/48 + .... +x^2/2 + x + 1`, thef f'(1) =

Options

  • 48

  • 49

  • 50

  • 51

MCQ
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Solution

50

Explanation;

f'(x) = x49 + x48 + x47 + .... + x + 1

∴ f'(1) = 1 + 1 + 1 + ... 50 times = 50

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Definition of Derivative and Differentiability
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Chapter 9: Differentiation - Miscellaneous Exercise 9 [Page 195]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 9 Differentiation
Miscellaneous Exercise 9 | Q I. (8) | Page 195

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