Misc 13 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at April 16, 2024 by Teachoo

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

Next: Misc 14 Important → Ask a doubt

Made by

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular