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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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Example 32 Find 𝑑𝑦/𝑑𝑥 , if 𝑥 = ğ‘Žğ‘¡2, 𝑦 = 2ğ‘Žğ‘¡ .Here 𝑑𝑦/𝑑𝑥 = (𝑑𝑦/𝑑𝑡)/(𝑑𝑥/𝑑𝑡) Calculating 𝒅𝒚/𝒅𝒕 𝑦 = 2ğ‘Žğ‘¡" " 𝑑𝑦/𝑑𝑡 " " = 𝑑(2ğ‘Žğ‘¡)/𝑑𝑡 𝑑𝑦/𝑑𝑡 = 2ğ‘Ž . 𝑑(𝑡)/𝑑𝑡 𝑑𝑦/𝑑𝑡 = 𝟐𝒂 Calculating 𝒅𝒙/𝒅𝒕 𝑥=ğ‘Žğ‘¡2 𝑑𝑥/𝑑𝑡 " " = 𝑑(ğ‘Žğ‘¡2)/𝑑𝑡 𝑑𝑥/𝑑𝑡 " " = ğ‘Ž . 𝑑(𝑡2)/𝑑𝑡 " " 𝑑𝑥/𝑑𝑡 " " = 𝟐𝒂𝒕 Therefore 𝑑𝑦/𝑑𝑥 = (𝑑𝑦/𝑑𝑡)/(𝑑𝑥/𝑑𝑡) 𝑑𝑦/𝑑𝑥 = 2ğ‘Ž/2a𝑡 𝒅𝒚/𝒅𝒙 = 𝟏/𝒕

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.