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Example 29 - Differentiate (i) e^-x (ii) sin (log x) (iii) cos^-1 e^x



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Example 29 Differentiate the following w.r.t. x: (i) 𝑒^(–π‘₯)Let 𝑦 = 𝑒^(–π‘₯) Differentiating both sides 𝑀.π‘Ÿ.𝑑.π‘₯ 𝑑𝑦/𝑑π‘₯ = 𝑑(𝑒^(βˆ’π‘₯) )/𝑑π‘₯ 𝑑𝑦/𝑑π‘₯ = 𝑒^(βˆ’π‘₯) . 𝑑(βˆ’π‘₯)/𝑑π‘₯ 𝑑𝑦/𝑑π‘₯ = 𝑒^(βˆ’π‘₯) (βˆ’1) . π’…π’š/𝒅𝒙 = γ€–βˆ’π’†γ€—^(βˆ’π’™)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.