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Differentiate the function. Y= √x(x-8) ?

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Mar 3, 2015

The answer is: #(x-4)/sqrt(x^2-8x)#.

#y=sqrt(x(x-8))rArry=sqrt(x^2-8x)rArr#

#y'=1/(2sqrt(x^2-8x))*(2x-8)=(2(x-4))/(2sqrt(x^2-8x))=(x-4)/sqrt(x^2-8x)#.

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