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  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise

Transcript

Ex 5.4, 10 Differentiate w.r.t. π‘₯ in, cos⁑(log⁑π‘₯ + 𝑒^π‘₯), π‘₯ > 0 Let 𝑦 = cos⁑(log⁑π‘₯+ 𝑒^π‘₯ ) Differentiating both sides 𝑀.π‘Ÿ.𝑑.π‘₯ 𝑦^β€² = (cos⁑(log⁑π‘₯ + 𝑒^π‘₯ ) )^β€² 𝑦^β€²= γ€–βˆ’sin 〗⁑(log⁑π‘₯+𝑒^π‘₯ ) (log⁑π‘₯ + 𝑒^π‘₯ )^β€² 𝑦^β€²= γ€–βˆ’sin 〗⁑(laog⁑π‘₯+𝑒^π‘₯ ) ((log⁑π‘₯ )^β€²+(𝑒^π‘₯ )^β€² ) 𝑦^β€² = γ€–βˆ’ sin 〗⁑(log⁑π‘₯+𝑒^π‘₯ ) (1/π‘₯ + 𝑒^π‘₯ ) π’š^β€² = βˆ’β‘(𝟏/𝒙 + 𝒆^𝒙 ) π’”π’Šπ’ (π’π’π’ˆβ‘π’™ + 𝒆^𝒙 )

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.