Ex 13.2, 7 - Chapter 13 Class 11 Limits and Derivatives - Part 5

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Ex 13.2, 7 - Chapter 13 Class 11 Limits and Derivatives - Part 6

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Ex 13.2, 7 - Chapter 13 Class 11 Limits and Derivatives - Part 7

  1. Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
  2. Serial order wise

Transcript

Ex13.2, 7 For some constants a and b, find the derivative of (iii) (x − a)﷮(x − b)﷯ Let f(x) = (x − a)﷮(x − b)﷯ Let u = (x – a) & v = (x – b) So, f(x) = 𝑢﷮𝑣﷯ f’(x) = 𝑢﷮𝑣﷯﷯﷮′﷯ f’(x) = 𝑢﷮′﷯𝑣 − 𝑣﷮′﷯𝑢﷮ 𝑣﷮2﷯﷯ Finding u’ & v’ u = x – a u’ = 1. x1–1 – 0 = x0 = 1 v = x – b v’ = 1.x1–1 – b = 1.x0 = 1 f’(x) = 𝑢﷮𝑣﷯﷯﷮′﷯ = 𝑢﷮′﷯𝑣 − 𝑣﷮′﷯𝑢﷮ 𝑣﷮2﷯﷯ = 1 x − b﷯ − (1) x − a﷯ ﷮ x − b﷯2﷯ = 1 x − b﷯ − (1) x − a﷯ ﷮ x − b﷯2﷯ = x − b − x + a﷮ x − b﷯2﷯ = − b + a﷮ x − b﷯2﷯ = a − b﷮ x − b﷯2﷯ Hence, f’ (x) = 𝐚 − 𝐛﷮ 𝐱 − 𝐛﷯𝟐﷯

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.