Ex 5.2, 8 - Class 12

Transcript

Ex 5.2, 8 Differentiate the functions with respect to 𝑥 cos ﷮𝑥﷯﷯ Let 𝑦 = cos ﷮𝑥﷯﷯ We need to find derivative of 𝑦 𝑤.𝑟.𝑡.𝑥 i.e. 𝑦﷮′﷯ = cos ﷮𝑥﷯﷯﷮′﷯ 𝑑𝑦﷮𝑑𝑥﷯ = 𝑑 cos﷮ ﷮𝑥﷯﷯﷯﷮𝑑𝑥﷯ = −sin ﷮𝑥﷯ . 𝑑 ﷮𝑥﷯﷮𝑑𝑥﷯ = −sin ﷮𝑥﷯ . 1﷮2 ﷮𝑥﷯﷯ = − 𝐬𝐢𝐧﷮ ﷮𝒙﷯﷯﷮𝟐 ﷮𝒙﷯﷯