Check Full Chapter Explained - Continuity and Differentiability - Continuity and Differentiability Class 12

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  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise

Transcript

Example 35 Find ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ , if ๐‘ฅ = ๐‘Ž๐‘ก2, ๐‘ฆ = 2๐‘Ž๐‘ก . ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ ร— ๐‘‘๐‘ก/๐‘‘๐‘ก ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ๐‘‘๐‘ฆ/๐‘‘๐‘ก ร— ๐‘‘๐‘ก/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = (๐‘‘๐‘ฆ/๐‘‘๐‘ก)/(๐‘‘๐‘ฅ/๐‘‘๐‘ก) Calculating ๐’…๐’š/๐’…๐’• ๐‘ฆ = 2๐‘Ž๐‘ก" " ๐‘‘๐‘ฆ/๐‘‘๐‘ก " " = ๐‘‘(2๐‘Ž๐‘ก)/๐‘‘๐‘ก ๐‘‘๐‘ฆ/๐‘‘๐‘ก = 2๐‘Ž . ๐‘‘(๐‘ก)/๐‘‘๐‘ก ๐‘‘๐‘ฆ/๐‘‘๐‘ก = ๐Ÿ๐’‚ Calculating ๐’…๐’™/๐’…๐’• ๐‘ฅ=๐‘Ž๐‘ก2 ๐‘‘๐‘ฅ/๐‘‘๐‘ก " " = ๐‘‘(๐‘Ž๐‘ก2)/๐‘‘๐‘ก ๐‘‘๐‘ฅ/๐‘‘๐‘ก " " = ๐‘Ž . ๐‘‘(๐‘ก2)/๐‘‘๐‘ก " " ๐‘‘๐‘ฅ/๐‘‘๐‘ก " " = ๐Ÿ๐’‚๐’• Therefore ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = (๐‘‘๐‘ฆ/๐‘‘๐‘ก)/(๐‘‘๐‘ฅ/๐‘‘๐‘ก) ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = 2๐‘Ž/2a๐‘ก ๐’…๐’š/๐’…๐’™ = ๐Ÿ/๐’•

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.