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Ex 5.4, 5 - Differentiate log (cos ex) - Class 12 CBSE - Ex 5.4

  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise
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Ex 5.4, 5 Differentiate w.r.t. x in , log ﷮ cos﷮ 𝑒﷮𝑥﷯﷯﷯﷯ Let 𝑦 = log ﷮ cos﷮ 𝑒﷮𝑥﷯﷯﷯﷯ Differentiating both sides 𝑤.𝑟.𝑡.𝑥 𝑑 𝑦﷯﷮𝑑𝑥﷯ = 𝑑 log ﷮ cos﷮ 𝑒﷮𝑥﷯﷯﷯﷯﷯﷮𝑑𝑥﷯ 𝑑𝑦﷮𝑑𝑥﷯ = 1﷮ cos﷮ 𝑒﷮𝑥﷯﷯﷯ . 𝑑 cos﷮ 𝑒﷮𝑥﷯﷯﷯﷮𝑑𝑥﷯ = 1﷮ cos﷮ 𝑒﷮𝑥﷯﷯﷯ . − sin﷮ 𝑒﷮𝑥﷯﷯﷯ . 𝑑 𝑒﷮𝑥﷯﷯﷮𝑑𝑥﷯ = 1﷮ cos﷮ 𝑒﷮𝑥﷯﷯﷯ . − sin﷮ 𝑒﷮𝑥﷯﷯﷯ . 𝑒﷮𝑥﷯ = − sin﷮ 𝑒﷮𝑥﷯﷯﷮ cos﷮ 𝑒﷮𝑥﷯﷯﷯ . 𝑒﷮𝑥﷯ = − tan﷮ 𝑒﷮𝑥﷯﷯ . 𝑒﷮𝑥﷯ = − 𝒆﷮𝒙﷯ . 𝒕𝒂𝒏﷮ 𝒆﷮𝒙﷯﷯

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