Question 1 - Tangents and Normals (using Differentiation) - Chapter 6 Class 12 Application of Derivatives

Last updated at May 29, 2023 by Teachoo

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Question 1 Find the slope of the tangent to the curve 𝑦=3𝑥4 – 4𝑥 𝑎𝑡 𝑥= 4Given 𝑦=3𝑥4 – 4𝑥 We need to find Slope of tangent at x = 4 We know that Slope of tangent =𝑑𝑦/𝑑𝑥 =3 × 4𝑥^3−4 =𝟏𝟐𝒙^𝟑−𝟒 Putting 𝑥=4 =12(4)^3−4 =768−4 =𝟕𝟔𝟒 Thus, Slope of the tangent at 𝑥=4 is 764

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