Check sibling questions

Ex 5.4, 6 - Ex 5.4

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Transcript

Ex 5.4, 6 Differentiate 𝑤.𝑟.𝑡. 𝑥 in , 𝑒^𝑥+ 𝑒^(𝑥^2 ) + 𝑒^(𝑥^3 )+ 𝑒^(𝑥^4 ) + 𝑒^(𝑥^5 )Let 𝑦 = 𝑒^𝑥+ 𝑒^(𝑥^2 ) +... + 𝑒^(𝑥^5 ) y = 𝑒^𝑥+ 𝑒^(𝑥^2 ) + 𝑒^(𝑥^3 )+ 𝑒^(𝑥^4 ) + 𝑒^(𝑥^5 ) Differentiating both sides 𝑤.𝑟.𝑡.𝑥 𝑑(𝑦)/𝑑𝑥 = 𝑑(𝑒^𝑥 " + " 𝑒^(𝑥^2 ) " + " 𝑒^(𝑥^3 ) " + " 𝑒^(𝑥^4 ) " + " 𝑒^(𝑥^5 ) )/𝑑𝑥 = (𝑑(𝑒^𝑥 ) )/𝑑𝑥 + 𝑑(𝑒^(𝑥^2 ) )/𝑑𝑥 + 𝑑(𝑒^(𝑥^3 ) )/𝑑𝑥 + 𝑑(𝑒^(𝑥^4 ) )/𝑑𝑥 + 𝑑(𝑒^(𝑥^5 ) )/𝑑𝑥 = 𝑒^𝑥 + 𝑒^(𝑥^2 ). 𝑑(𝑥^2 )/𝑑𝑥 + 𝑒^(𝑥^3 ). 𝑑(𝑥^3 )/𝑑𝑥 + 𝑒^(𝑥^4 ). 𝑑(𝑥^4 )/𝑑𝑥 + 𝑒^(𝑥^5 ). 𝑑(𝑥^5 )/𝑑𝑥 = 𝒆^𝒙 + 2x𝒆^(𝒙^𝟐 ) + 𝟑𝒙^𝟐 𝒆^(𝒙^𝟑 ) + 𝟒𝒙^𝟑 𝒆^(𝒙^𝟒 ) + 〖𝟓𝒙〗^(𝟒 ) 𝒆^(𝒙^𝟓 )

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.