Example 22 (ii) - Chapter 12 Class 11 Limits and Derivatives
Last updated at August 14, 2026 by Teachoo
Examples
Example 1 (i)
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Example 22 Find the derivative of (ii) (š„ + ššš ā”š„)/š”ššā”š„ Let f(x) = (š„ + ššš ā”š„)/š”ššā”š„ Let u = x + cos x & v = tan x ā“ f(x) = š¢/š£ So, fā(x) = (š¢/š£)^ā² Using quotient rule fā(x) = (š¢^ā² š£ āć š£ć^ā² š¢)/š£^2 Finding uā & vā u = x + cos x uā = (x + cos x)ā = 1 ā sin x v = tan x vā = sec2x Now, fā(x) = (š¢^ā² š£ āć š£ć^ā² š¢)/š£^2 = ((š āć š¬š¢š§ćā”ćš) (ššš§ā”ćš) ā ššššš (š + ć ššØš¬ćā”ćš)ć ć ć)/ć(ššš§ā”ćš)ćć^š (xn)ā = n xn ā 1 Derivative of cos x = āsin x Derivative of tan x = sec2x (Calculated in Example 17)
