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Correct Partial Derivatives: Double Check my Answers
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Your [itex]u_x[/itex] is wrong, use product rule because you have a function of x times a function of x. For the others you can check them here:
http://www.quickmath.com/webMathematica3/quickmath/calculus/differentiate/basic.jsp
http://www.quickmath.com/webMathematica3/quickmath/calculus/differentiate/basic.jsp
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