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If I have a function f ( x , t ) = x - 6t with x ( t ) = t^{2}and I take the partial derivative of f with respect to x I get the answer 1 as t acts as a constant so its derivative is zero. But if I substitute t with x^{1/2}I get the answer 1 - 3x^{-1/2}which is obviously different and wrong , I think ! So , why can't I do this method ?

Thanks

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# I Partial derivatives method

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