Unformatted text preview: f ( a ) 6 = 0 cannot be dropped in part (a) by giving an example of a diﬀerentiable function f ( x ) such that f ( a ) = 0 and the function F ( x ) =  f ( x )  is NOT diﬀerentiable at x = a . (c) Does there exist a diﬀerentiable function f ( x ) such that f ( a ) = 0 and the function F ( x ) =  f ( x )  IS diﬀerentiable at x = a ? C. Sketch the curve y 2 = x 2x 4 using implicit diﬀerentiation to identify all horizontal and vertical tangentlines. At what angle does the curve cross itself at the origin? Please don’t 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 doesn’t need to be exact). 1...
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 Fall '11
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 Math, Calculus, Derivative, differentiable function, Chain Rule., basic Power Rule

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