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Example 35 - Find dy/dx, if x = at2, y = 2at - Class 12 CBSE

Example 35 - Chapter 5 Class 12 Continuity and Differentiability - Part 2

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Example 35 Find 𝑑𝑦/𝑑π‘₯ , if π‘₯ = π‘Žπ‘‘2, 𝑦 = 2π‘Žπ‘‘ . 𝑑𝑦/𝑑π‘₯ = 𝑑𝑦/𝑑π‘₯ Γ— 𝑑𝑑/𝑑𝑑 𝑑𝑦/𝑑π‘₯ = 𝑑𝑦/𝑑𝑑 Γ— 𝑑𝑑/𝑑π‘₯ 𝑑𝑦/𝑑π‘₯ = (𝑑𝑦/𝑑𝑑)/(𝑑π‘₯/𝑑𝑑) Calculating π’…π’š/𝒅𝒕 𝑦 = 2π‘Žπ‘‘" " 𝑑𝑦/𝑑𝑑 " " = 𝑑(2π‘Žπ‘‘)/𝑑𝑑 𝑑𝑦/𝑑𝑑 = 2π‘Ž . 𝑑(𝑑)/𝑑𝑑 𝑑𝑦/𝑑𝑑 = πŸπ’‚ Calculating 𝒅𝒙/𝒅𝒕 π‘₯=π‘Žπ‘‘2 𝑑π‘₯/𝑑𝑑 " " = 𝑑(π‘Žπ‘‘2)/𝑑𝑑 𝑑π‘₯/𝑑𝑑 " " = π‘Ž . 𝑑(𝑑2)/𝑑𝑑 " " 𝑑π‘₯/𝑑𝑑 " " = πŸπ’‚π’• Therefore 𝑑𝑦/𝑑π‘₯ = (𝑑𝑦/𝑑𝑑)/(𝑑π‘₯/𝑑𝑑) 𝑑𝑦/𝑑π‘₯ = 2π‘Ž/2a𝑑 π’…π’š/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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.