Example 22 (ii) - Chapter 12 Class 11 Limits and Derivatives
Last updated at April 16, 2024 by Teachoo
Examples
Example 1 (i)
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Transcript
Example 22 Find the derivative of (ii) (π₯ + πππ β‘π₯)/π‘ππβ‘π₯ Let f(x) = (π₯ + πππ β‘π₯)/π‘ππβ‘π₯ Let u = x + cos x & v = tan x β΄ f(x) = π’/π£ So, fβ(x) = (π’/π£)^β² Using quotient rule fβ(x) = (π’^β² π£ βγ π£γ^β² π’)/π£^2 Finding uβ & vβ u = x + cos x uβ = (x + cos x)β = 1 β sin x v = tan x vβ = sec2x Now, fβ(x) = (π’^β² π£ βγ π£γ^β² π’)/π£^2 = ((π βγ π¬π’π§γβ‘γπ) (πππ§β‘γπ) β πππππ (π + γ ππ¨π¬γβ‘γπ)γ γ γ)/γ(πππ§β‘γπ)γγ^π (xn)β = n xn β 1 Derivative of cos x = βsin x Derivative of tan x = sec2x (Calculated in Example 17)
