Example 22 - Chapter 13 Class 11 Limits and Derivatives - Part 4

Example 22 - Chapter 13 Class 11 Limits and Derivatives - Part 5

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Example 22 Find the derivative of (ii) (š‘„ + š‘š‘œš‘ ā”š‘„)/š‘”š‘Žš‘›ā”š‘„ Let f(x) = (š‘„ + š‘š‘œš‘ ā”š‘„)/š‘”š‘Žš‘›ā”š‘„ Let u = x + cos x & v = tan x āˆ“ f(x) = š‘¢/š‘£ So, fā€™(x) = (š‘¢/š‘£)^ā€² Using quotient rule fā€™(x) = (š‘¢^ā€² š‘£ āˆ’怖 š‘£ć€—^ā€² 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‘¢^ā€² š‘£ āˆ’怖 š‘£ć€—^ā€² š‘¢)/š‘£^2 = ((šŸ āˆ’怖 š¬š¢š§ć€—ā”怖š’™) (š­ššš§ā”怖š’™) āˆ’ š’”š’†š’„šŸš’™ (š’™ + 怖 šœšØš¬ć€—ā”怖š’™)怗 怗 怗)/怖(š­ššš§ā”怖š’™)怗怗^šŸ (xn)ā€™ = n xn ā€“ 1 Derivative of cos x = ā€“sin x Derivative of tan x = sec2x (Calculated in Example 17)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.