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

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  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise
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Example 35 Find ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ , if ๐‘ฅ = ๐‘Ž๐‘ก2, ๐‘ฆ = 2๐‘Ž๐‘ก . ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ ร— ๐‘‘๐‘ก๏ทฎ๐‘‘๐‘ก๏ทฏ ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ก๏ทฏ ร— ๐‘‘๐‘ก๏ทฎ๐‘‘๐‘ฅ๏ทฏ ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ก๏ทฏ๏ทฎ ๐‘‘๐‘ฅ๏ทฎ๐‘‘๐‘ก๏ทฏ๏ทฏ Therefore ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ก๏ทฏ๏ทฎ ๐‘‘๐‘ฅ๏ทฎ๐‘‘๐‘ก๏ทฏ๏ทฏ ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = 2๐‘Ž๏ทฎ2a๐‘ก๏ทฏ ๐’…๐’š๏ทฎ๐’…๐’™๏ทฏ = ๐Ÿ๏ทฎ๐’•๏ทฏ

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