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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 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.