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Example 12 - Chapter 12 Class 11 Limits and Derivatives
Last updated at August 11, 2026 by Teachoo
Derivatives by 1st principle - At a general point
Chapter 12 Class 11 Limits and Derivatives
Concept wise
- Limits - Definition
- Limits - 0/0 form
- Limits - x^n formula
- Limits - Of Trignometric functions
- Limits - Limit exists
- Derivatives by 1st principle - At a point
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Derivatives by 1st principle - At a general point
- Derivatives by formula - x^n formula
- Derivatives by formula - sin & cos
- Derivatives by formula - other trignometric
Transcript
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) =
