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2311_MG4_3.1-3.4_F11 - MAC2311 MG4(3.1-3.4 Fall 2011 Name...

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MAC2311 MG4 (3.1-3.4) Name: _____________________________________ Fall 2011 Section: (circle yours) MWF 9:00 MWF 10:00 Directions : Use all available resources, including the math lab, Teague’s office hours, and fellow students. To justify answers and earn partial credit, show work in the spaces provided on this document. MG4 is due in Teague’s unit, B-230, by 3PM on 10/4/11. Late papers will be penalized on a case-by-case basis, but typically one letter grade (10%) penalty per day. “Finding and Applying Derivatives” 1. Find an equation for the tangent line to the graph of ( ) 2 2 x y x - = at x = 4 . Answer: ___________________________ 2. The graphs of polynomial f , f , and f ′′ are shown. Fill in the blanks with letters A, B, and C to identify which is which. f f f ′′ _____ _____ _____ 3. The left side of the graph of ( ) 2 9 , 1 , 1 x x f x mx b x - = + > is shown. Find the values for slope m and y-intercept b that make f differentiable at 1 x = . m = _______ b = _______
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4. The table and graph give information about functions f and g . Let ( ) ( ) ( ) f x h x g x = . Find ( ) 5 h . Graph of g Answer: ( ) 5 h = ________ 5. Find and simplify dy dx and 2 2 d y dx for 2 2 4 x y x = - . Answer: dy dx = ___________________________
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