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Example 32 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at June 2, 2023 by Teachoo
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Example 32 You are here
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Question 1 Deleted for CBSE Board 2024 Exams
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Transcript
Example 32 Find 𝑑𝑦/𝑑𝑥 , if 𝑥 = 𝑎𝑡2, 𝑦 = 2𝑎𝑡 .Here 𝑑𝑦/𝑑𝑥 = (𝑑𝑦/𝑑𝑡)/(𝑑𝑥/𝑑𝑡) Calculating 𝒅𝒚/𝒅𝒕 𝑦 = 2𝑎𝑡" " 𝑑𝑦/𝑑𝑡 " " = 𝑑(2𝑎𝑡)/𝑑𝑡 𝑑𝑦/𝑑𝑡 = 2𝑎 . 𝑑(𝑡)/𝑑𝑡 𝑑𝑦/𝑑𝑡 = 𝟐𝒂 Calculating 𝒅𝒙/𝒅𝒕 𝑥=𝑎𝑡2 𝑑𝑥/𝑑𝑡 " " = 𝑑(𝑎𝑡2)/𝑑𝑡 𝑑𝑥/𝑑𝑡 " " = 𝑎 . 𝑑(𝑡2)/𝑑𝑡 " " 𝑑𝑥/𝑑𝑡 " " = 𝟐𝒂𝒕 Therefore 𝑑𝑦/𝑑𝑥 = (𝑑𝑦/𝑑𝑡)/(𝑑𝑥/𝑑𝑡) 𝑑𝑦/𝑑𝑥 = 2𝑎/2a𝑡 𝒅𝒚/𝒅𝒙 = 𝟏/𝒕
