Math 125  Test 2   6 points each Feb 15, 2007

(4 points Absolutely FREE!)

 

Differentiate, (means find yÕ(x).

 

1. y = sin ¹

 

2. y =  x/4

 

3.   y = 5/x

 

4.  y = 3x2 + 5x - 7

 

5. 

6. y =  tan 4x

7.  

 

8.    y = x2 sin x

 

9.  y = sin5 3x

 

10.  

 

11. 

 

12.  y = tan 2 (x2)

 

13.  y = tan 3x sin 2x

 

14.

 

15.  Find y Ô(x)  = dy/dx  (Assume y is a function of x)   3x4 - xy + x2y3 = 4

 

16.   Find the equation of the tangent line to 

 

f(x) = 9x2 - 17x + 4  at x = 2

 

10 pts Bonus

 

Find the equation of the tangent line to x1/2 + y1/2 = 4 at the point ( 9 , 1 ).