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Example 22 - Find derivative of tan (2x + 3) - Chapter 5 Class 12


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Example 22 Find the derivative of tan (2x + 3). Let y = tan (2x + 3) We need to find derivative of y, i.e. 𝑑𝑦/𝑑π‘₯ = (𝑑 tan⁑〖(2π‘₯+3)γ€—)/𝑑π‘₯ = sec2(2x + 3) Γ— (𝑑(2π‘₯ + 3))/𝑑π‘₯ = sec2 (2x + 3) Γ— 2 = 2 sec2 (2x + 3) (As (tan x)’ = sec2 x)

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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.