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Unformatted text preview: f ( a ) 6 = 0 cannot be dropped in part (a) by giving an example of a dierentiable function f ( x ) such that f ( a ) = 0 and the function F ( x ) =  f ( x )  is NOT dierentiable at x = a . (c) Does there exist a dierentiable function f ( x ) such that f ( a ) = 0 and the function F ( x ) =  f ( x )  IS dierentiable at x = a ? C. Sketch the curve y 2 = x 2x 4 using implicit dierentiation to identify all horizontal and vertical tangentlines. At what angle does the curve cross itself at the origin? Please dont forget to write down on your assignment who you worked on the assignment with (if nobody, then write I worked alone), and write down on your timesheet how many minutes you spent on each problem (this doesnt need to be exact). 1...
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 Fall '11
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 Math, Calculus

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