Example 12 - Find derivative of f(x) = 1/x - Class 11 - Examples

Example 12 - Chapter 13 Class 11 Limits and Derivatives - Part 2

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Example 12 Find the derivative of f(x) = 1 x f (x) = 1 We need to find Derivative of f(x) i.e. f (x) We know that f (x) = lim h 0 f x + h f(x) h Here, f (x) = 1 So, f (x + h) = 1 ( + ) Putting values f (x) = lim h 0 1 ( + ) 1 = lim h 0 ( + ) ( + ) = lim h 0 + = lim h 0 . ( + ) = lim h 0 1 ( + ) Putting h = 0 = 1 ( + 0) = 1 2 Hence f (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 and Computer Science at Teachoo