1. Derivatives
Part 3

2. Notation
Prime D
Leibniz

3. So

4. Ex1
Find f ’’ with derivative definition !

5. Ex2
Find

6. Implicit Differentiation
If y=f(x) then implicit differentiation F(x,y)=c is finding dy/dx without first solving the given equation for y explicitly in terms of x Ex. Find dy/dx!

7. Linear Approximation ex

8. Differential & Approximation
Suppose y=f(x) differentiable at x and dx is differential from x then differential can be defined :
dy=f’(x) dx

9. Let We Play a Game
You doing bellow exercise every number with given time
You can open your book
After all number have finished, who brave one can explained in front
Who brave will get  ~ score addition

10. 1
Find dy/dx from :

11. 2. Is the function given by
differentiable for all x? If not, where are the function undifferentiable?

12. 3

13. 4

14. 5

15. 6

16. 7

17. 8
Show that the function Not differentiable at 6 and find formula of f’

18. 9
Where is the greatest integerif Not differentiable? Find f ’

19. 10

20. 11