Ex 6.3, 1 Class 12 Maths - Find slope y = 3x^4 - 4x at x = 5

Ex 6.3, 1 - Chapter 6 Class 12 Application of Derivatives - Part 2

  1. Chapter 6 Class 12 Application of Derivatives (Term 1)
  2. Serial order wise

Transcript

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/๐‘‘๐‘ฅ =3.4๐‘ฅ^(4โˆ’1)โˆ’4 =12๐‘ฅ^3โˆ’4 So, ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ=12๐‘ฅ^3โˆ’4 Putting ๐‘ฅ=4 (๐‘‘๐‘ฆ/๐‘‘๐‘ฅ)_(๐‘ฅ = 4)=12(4)^3โˆ’4 =768โˆ’4 =764 Thus, Slope of the tangent is 764 at ๐‘ฅ=4

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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.