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Example 11 Find the derivative of the constant function f (x) = a for a fixed real number a. Given f (x) = a ,where a is constant thus, f(x) is a constant function 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) = a So, f (x + h) = a Putting values f (x) = lim h 0 h = lim h 0 0 h = lim h 0 0 = 0 Thus f (x) = 0 Hence, derivative of constant function is 0

  1. Chapter 12 Class 11 Limits and Derivatives
  2. Serial order wise

About the Author

Davneet Singh

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