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

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Transcript

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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.