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


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Question 1 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.