Example 5 - Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
Last updated at May 29, 2018 by Teachoo
Examples (Term 1 and Term 2)
Example 1 (ii)
Example 1 (iii)
Example 2 (i)
Example 2 (ii) Important
Example 2 (iii) Important
Example 2 (iv)
Example 2 (v)
Example 3 (i) Important
Example 3 (ii) Important
Example 4 (i)
Example 4 (ii) Important
Example 5 You are here
Example 6
Example 7 Important
Example 8
Example 9
Example 10 Important
Example 11
Example 12
Example 13 Important
Example 14
Example 15 Important
Example 16
Example 17 Important
Example 18
Example 19 (i) Important
Example 19 (ii)
Example 20 (i)
Example 20 (ii) Important
Example 21 (i)
Example 21 (ii) Important
Example 22 (i)
Example 22 (ii) Important
Examples (Term 1 and Term 2)
Last updated at May 29, 2018 by Teachoo
Example 5 Find the derivative at x = 2 of the function f(x) = 3x. f (x) = 3x We know that, f’(x) = limh→0 f x+h−f(x)h Now, f(x) = 3x So, f(x + h) = 3 (x + h) f’ (x) = limh→0 3 x + h − 3 (x)h Putting x = 2 f’ (2) = limh→0 3 2 + h − 3 (2)h = limh→0 6 + 3ℎ − 6h = limh→0 3ℎ + 0h = limh→0 3ℎh = limh→0 3 = 3 Hence the derivative of the function f(x) at x = 2 is 3 i.e. f’(2) = 3