Fa08_Prelim2_sol

# Fa08_Prelim2_sol - Math 1110 Prelim 2 Name Instructor...

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Math 1110 (Fall 2008) Prelim 2 (10/30/2008) 2 Question 1. (16 points) Compute dy dx : (a) y = ln(cos( x )) y = 1 cos( x ) cos ( x ) = - sin( x ) cos( x ) = - tan( x ) (b) y = x sin( x ) for x > 0 ln( y ) = sin( x ) ln( x ), (ln( y )) = sin( x ) 1 x + cos( x ) ln( x ), y y = sin( x ) x + cos( x ) ln( x ), y = x sin( x ) sin( x ) x + cos( x ) ln( x ) .
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