Problems on Derivatives

Find the derivative of the functions

1-

2-

3-

4-

5-

6-

7- Given that:

,

find the slope of the tangent at the point (2,3).

8- If

Find the point on the curve at which the slope of the tangent at that point:

· Is parallel the x axes

· Makes angle=135 with positive direction of x axes

· Is parallel to the line whose equation is

· Is normal to the line whose equation is

9- If, prove that

10- If , prove that

11- If , find .

12- Given:

,

find .

13- If find .

14- Find the derivative for every function:

If:

15- Prove that: