Download presentation

Presentation is loading. Please wait.

1
**Derivative of a function**

2
**lim x-6 x2-36 lim x2-12x+36 x2-7x+6 lim x2-81 9-x x ⟶ 6 x ⟶ 9 x ⟶ 1**

Warm-up lim x-6 x ⟶ 6 x2-36 1 12 ∴ limit exists lim x2-12x+36 x ⟶ 1 x2-7x+6 = -5/0 , ∴ limit DOES NOT exist lim x2-81 x ⟶ 9 9-x =-18 , ∴ limit exists

3
**Definition of the Derivative**

4
**EXAMPLE: Find the derivative of f(x) = 3x2 - 2x**

f’(x) = [3(x+h)2 - 2(x+h)] - [3x2 - 2x] h f’(x) = [(3x2 +6xh + 3h2 ) - (2x+2h)] - [3x2 - 2x] h f’(x) = 3x2 +6xh + 3h2 - 2x - 2h - 3x2 + 2x h f’(x) = 6xh + 3h2 - 2h h f’(x) = (6x + 3h - 2) f’(x) = h (6x + 3h - 2) h f’(x) = (6x - 2)

5
**PRACTICE 1. f(x)= 5x- 8 2. f(x)=-3x + 9 3. f(x)= 12x + 3x - 10 5 -3 15**

Similar presentations

Presentation is loading. Please wait....

OK

Solving Problems and Puzzles

Solving Problems and Puzzles

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on case study method of training Ppt on planet jupiter Ppt on object oriented programming language Ppt on national education policy 1986 toyota Ppt on area of parallelogram and triangles worksheet Ppt on different types of reactions and their applications Ppt on polynomials and coordinate geometry calculation Ppt on electricity generation from municipal solid waste Ppt on grid connected pv system Ppt on power grid failure usa