SampleMidterm1 - Problem 5: ( 5 points ) If g ( s ) = q 1 +...

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Sample Midterm Problem 1: ( 5 points ) Find all values of x (if any) at which the graph of f ( x ) = x 3 + 3 x 2 + 10 has a tangent line parallel to y = - 3 x . Problem 2: ( 5 points ) Find f 0 ( x ) for f ( x ) = - 6 x 3 + 3 x 2 - 2 x + 1 x 2 . Problem 3: ( 10 points ) Consider the function g ( x ) = x + 4 - 2 x Compute the following limits: lim x 5 g ( x ) , lim x 5 g ( 12 ) , lim x 0 g ( x ) , lim x + g ( x )
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Unformatted text preview: Problem 5: ( 5 points ) If g ( s ) = q 1 + 1 + s then g ( ) is a ) 1 2 b ) 2 2 c ) 1 2 2 d ) 1 4 2 Problem 6: ( 5 points ) If h ( x ) = 1 + 1 1 + 1 x then h ( 1 ) is a )-1 4 b )-1 2 c ) 1 2 d ) 1 4 1...
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