Assignment 4 Solutions

Assignment 4 Solutions - MAT 1330, Fall 2010 Assignment 4...

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MAT 1330, Fall 2010 Assignment 4 Due Wednesday November 10, at the beginning of class. Late assignments will not be accepted; nor will unstapled assignments. Instructor (circle one): Frithjof Lutscher Angelika Welte Aziz Khanchi Robert Smith? DGD (circle one): 1 2 3 4 Student Name Student Number By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Signature Question 1. Find the derivatives of the following functions. Do not simplify. a) f ( x ) = cos( x ) sin(5 x 2 + 7), f ! ( x )= sin( x ) sin(5 x 2 +7)+cos( x )[cos(5 x 2 + 7)10 x ] , Use the quotient rule and the chain rule. b) g ( x tan( x ) e 7 x x 4 , g ! ( x e 7 x x 4 cos 2 x tan( x )[7 e 7 x x 4 + e 7 x 4 x 3 ] ( e 7 x x 4 ) 2 Use the quotient rule and the product rule. c) h ( x e cos 3 x +2 sin 2 x , h ! ( x e cos 3 x +2 sin 2 x [3 cos 2 ( x )( sin( x )) + 4 sin( x ) cos( x )] Use the chain rule twice. d) w ( y ) = ln( ! y 2 +3 y + 9), w ! ( y 1 ! y 2 y +9 1 2 · ! y 2 y (2 y +3) Use the chain rule twice or use properties of log and then the chain rule. e) u ( z sin( z 5 ) z , u ! ( z cos( z 5 )(5 z 4 ) z sin( z 5 ) 1 2 z z Use the quotient rule and the chain rule.
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Assignment 4 Solutions - MAT 1330, Fall 2010 Assignment 4...

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