Ex 5.4, 3 - Differentiate ex3 - Chapter 5 Class 12 - Ex 5.4

  1. Chapter 5 Class 12 Continuity and Differentiability
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Ex 5.4, 3 Differentiate 𝑤.𝑟.𝑡. 𝑥 in, 𝑒﷮ 𝑥﷮3﷯﷯ Let 𝑦 = 𝑒﷮ 𝑥﷮3﷯﷯ Differentiating both sides 𝑤.𝑟.𝑡.𝑥 𝑑 𝑦﷯﷮𝑑𝑥﷯ = 𝑑 𝑒﷮ 𝑥﷮3﷯﷯﷯﷮𝑑𝑥﷯ 𝑑𝑦﷮𝑑𝑥﷯ = 𝑒﷮ 𝑥﷮3﷯﷯ . 𝑑 𝑥﷮3﷯﷯﷮𝑑𝑥﷯ 𝑑𝑦﷮𝑑𝑥﷯ = 𝑒﷮ 𝑥﷮3﷯﷯ . 3 𝑥﷮2﷯ 𝒅𝒚﷮𝒅𝒙﷯ = 𝟑 𝒙﷮𝟐﷯ 𝒆﷮ 𝒙﷮𝟑﷯﷯

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