Example 10 - Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
Last updated at May 29, 2018 by Teachoo
Last updated at May 29, 2018 by Teachoo
Transcript
Example 10 Find the derivative of f(x) = x2. Given f(x) = x2 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) = x2 So, f (x + h) = (x + h)2 Putting values f’ (x) = limh→0 𝑥 + ℎ2 − 𝑥2ℎ = limh→0 𝑥2 + ℎ2 + 2𝑥ℎ − 𝑥2 ℎ = limh→0 ℎ2 + 2𝑥ℎ − 𝑥2 + 𝑥2ℎ = limh→0 ℎ ℎ + 2𝑥 + 0ℎ = limh→0 ℎ (ℎ + 2𝑥)ℎ = limh→0 h + 2x Putting h = 0 = 0 + 2x = 2x Hence f’(x) = 2x
Examples (Term 1 and Term 2)
Example 2 Important
Example 3 Important
Example 4
Example 5
Example 6
Example 7 Important
Example 8
Example 9
Example 10 You are here
Example 11
Example 12
Example 13
Example 14
Example 15
Example 16
Example 17 Important
Example 18
Example 19 Important
Example 20 (i) Important
Example 20 (ii)
Example 21 Important
Example 22 Important
Examples (Term 1 and Term 2)
About the Author