What is the Differentiation of sin inverse x (sin^-1 x)? - Teachoo
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What is the Differentiation of sin inverse x (sin^-1 x)? - Teachoo
Example 24 Find the derivative of f given by 𝑓 (𝑥)=〖𝑠𝑖𝑛〗^(−1) 𝑥 assuming it exists. 𝑓 (𝑥)=〖𝑠𝑖𝑛〗^(−1) 𝑥Let 𝒚= 〖𝒔𝒊𝒏〗^(−𝟏) 𝒙 sin⁡〖𝑦=𝑥〗 𝒙=𝐬𝐢𝐧⁡〖𝒚 〗Differentiating both sides 𝑤.𝑟.𝑡.𝑥 𝑑𝑥/𝑑𝑥 = (𝑑 (sin⁡𝑦 ))/𝑑𝑥 1 ...
Dec 16, 2024
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