Misc 13 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at Dec. 16, 2024 by Teachoo

Misc 13 - Find dy/dx, if y = sin-1 x + sin-1 root 1-x2 - Miscellaneous - Miscellaneous

part 2 - Misc 13 - Miscellaneous - Serial order wise - Chapter 5 Class 12 Continuity and Differentiability

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Transcript

Misc 13 Find 𝑑𝑦/𝑑𝑥 , if 𝑦=〖𝑠𝑖𝑛〗^(−𝟏) 𝑥+〖𝑠𝑖𝑛〗^(−1) √(1−𝑥2), – 1 ≤ 𝑥 ≤ 1 𝑦=〖𝑠𝑖𝑛〗^(−𝟏) 𝑥+〖𝑠𝑖𝑛〗^(−1) √(1−𝑥^2 ) , – 1 ≤ 𝑥 ≤ 1 Putting 𝒙 = 𝒔𝒊𝒏⁡𝜽 𝑦=〖𝑠𝑖𝑛〗^(−𝟏) (sin⁡𝜃)+〖𝑠𝑖𝑛〗^(−1) √(1−sin^2 𝜃 ) 𝑦=𝜽+〖𝑠𝑖𝑛〗^(−1) √(〖𝐜𝐨𝐬〗^𝟐 𝜃 ) 𝑦=𝜃+〖𝑠𝑖𝑛〗^(−1) (cos 𝜃) 𝑦=𝜃+〖𝑠𝑖𝑛〗^(−1) (sin⁡(𝝅/𝟐 −𝜽) ) 𝑦=𝜃+ (𝜋/2 −𝜃) 𝑦=𝜃−𝜃 + 𝜋/2 𝒚= 𝝅/𝟐 Differentiating 𝑤.𝑟.𝑡.𝑥. 𝑑𝑦/𝑑𝑥 = 𝑑(𝜋/2)/𝑑𝑥 𝒅𝒚/𝒅𝒙 = 0

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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