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28 September, 08:03

Consider the curves in the first quadrant that have equations y=Aexp (6x) where A is a positive constant. Different values of A give different curves. The curves form a family, F. Give a formula g (y) for the slope at (xy) of the member of F that goes through (xy). The formula should not involve A or x.

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  1. 28 September, 10:47
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    Then the derivative of A e 6x is 6A e 6x replace x by 16 ln (yA) and get 6y

    i found this somewhere else i didnt do the work but i believe its right
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