Question 1 - Examples - Chapter 5 Class 12 Continuity and Differentiability

Last updated at December 16, 2024 by

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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