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Ex 6.3, 1 - Find slope y = 3x4 - 4x at x = 5 - Class 12 - Finding slope of tangent/normal

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  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise
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Ex 6.3,1 Find the slope of the tangent to the curve ๐‘ฆ=3๐‘ฅ4 โ€“ 4๐‘ฅ ๐‘Ž๐‘ก ๐‘ฅ= 4 ๐‘ฆ=3๐‘ฅ4 โ€“ 4๐‘ฅ We know that slope of tangent = ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ =3.4 ๐‘ฅ๏ทฎ4โˆ’1๏ทฏโˆ’4 =12 ๐‘ฅ๏ทฎ3๏ทฏโˆ’4 So, ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ=12 ๐‘ฅ๏ทฎ3๏ทฏโˆ’4 Putting ๐‘ฅ=4 ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ๏ทฏ๏ทฎ๐‘ฅ = 4๏ทฏ=12 4๏ทฏ๏ทฎ3๏ทฏโˆ’4 =768โˆ’4 =764 Thus, Slope of the tangent is 764 at ๐‘ฅ=4

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