Calculus I
Quiz # 8
November 19, 2003
Name____________________
Score ______
R.  Hammack 

(1)  Simplify the following expressions as much as possible.

(a)   sin^(-1)(3^(1/2)/2) =

(b)   tan ( sin^(-1)(x) ) =

 

(c)    sin^(-1) ( sin(π) ) =


 



(d)   ln(e/25) + 2ln(5e) =

(e) d/dx[ln(2)] =
  


  
(2)
(a)   d/dx[ln(x^2 + 1)^(1/2)] =

(b)  d/dx[ x e^(-x) ] =



(3)
(a)  If f(x) = tan^(-1)(x),  find f ' (6).




(b) d/dx[sec^(-1)(x^7)] =