Ex 5.6, 5 - Find dy/dx, x = cos - cos 2, y = sin - sin 2 - Ex 5.6

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  1. Chapter 5 Class 12 Continuity and Differentiability
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Ex 5.6, 5 If x and y are connected parametrically by the equations without eliminating the parameter, Find ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ, ๐‘ฅ = cosโก๐œƒ โ€“ cosโก2๐œƒ, ๐‘ฆ = sinโก๐œƒ โ€“ sinโก2๐œƒ ๐‘ฅ = cosโก๐œƒ โ€“ cosโก2๐œƒ, ๐‘ฆ = sinโก๐œƒ โ€“ sinโก2๐œƒ ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ ร— ๐‘‘๐œƒ๏ทฎ๐‘‘๐œƒ๏ทฏ ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐œƒ๏ทฏ ร— ๐‘‘๐œƒ๏ทฎ๐‘‘๐‘ฅ๏ทฏ ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐œƒ๏ทฏ๏ทฎ ๐‘‘๐‘ฅ๏ทฎ๐‘‘๐œƒ๏ทฏ๏ทฏ

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