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ps1solutions

# ps1solutions - BAYLOR UNIVERSITY HANKAMER SCHOOL OF...

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B AYLOR U NIVERSITY H ANKAMER S CHOOL OF B USINESS D EPARTMENT OF F INANCE , I NSURANCE & R EAL E STATE Dr. Garven Name ____SOLUTIONS ________ Problem Set #1 1. Determine the first derivative of each of the following functions: a. (Constant and Power Rules): 2 3 10 5 10 10 10(1 ). dY Y X X X X dX   b. (Product and Power Rules): 33 2 3 3 2 (4 ); here, ( ) 2 and ( ) 4 / / 2 (3 ) (4 )2 8(1 ). Y X X U X X W X X dY UdW dX WdU dX X X X X dX   c. (Quotient and Power Rules): 32 3 2 3 2 3 2 3 /(4 ); here, ( ) 3 and ( ) 4 (4 )3 – 3 (3 ) / / 12 – 6 . ) ) Y X X U X X W X X X X X dY WdU dX UdW dX X dX W X X    d. (Quotient and Constant Rules): 2 2 2 4 /( 3); here, ( ) 4 and ( ) 3 ( 3)4 – 4 / / 12 . ( 3) ( 3) Y X X U X X W X X XX dY WdU dX UdW dX dX W X X  2. Determine the second derivative of the following functions: a. / and / . Y X X dY dX X d Y dX     2 2 2 4 9 3 9 6 6 b. ( ) / / . Y X X X X dY dX X d Y dX X

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ps1solutions - BAYLOR UNIVERSITY HANKAMER SCHOOL OF...

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