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Calculus I                                                  Quiz #7                            March 26, 2004

Name____________________             R.  Hammack                          Score ______
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(1) Find the following derivatives.

(a)      d/dx[ ( x^3 + 5x^2 - 3 )^10 ] =  10 (x^3 + 5x^2 - 3)^9 (3x^2 + 10x)




(b)     d/dx[ (x sec(x))^(1/2) ] = d/dx[ ( x sec(x) )^(1/2)] = 1/2 (x sec(x))^(-1/2) ((1) sec(x) + x sec(x) tan(x)) = (sec(x) + x sec(x) tan(x))/(2 (x sec(x))^(1/2))




(c)     d/dx[sin ( tan(x^3) )    + 2x + 5  ] = cos ( tan(x^3) ) d/dx[tan(x^3) ] + 2 = cos ( tan(x^3) ) sec^2(x^3) 3x^2 + 2