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Example 9 - 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 9 Find the derivative of f(x) = 10x. Let f (x) = 10x We need to find derivative of f(x) i.e. f’ (x) We know that f’(x) = limh→0 f x + h − f(x)h Here, f (x) = 10x So, f (x + h) = 10(x + h) Putting values f’ (x) = limh→0 10 x + h − 10 xℎ = limh→0 10𝑥 + 10ℎ −10𝑥ℎ = limh→0 10ℎℎ = limh→0(10) = 10 Hence, f’(x) = 10
