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Ex 6.3, 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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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.