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

1 Answer
Mar 3, 2015

The answer is: (x-4)/sqrt(x^2-8x)x4x28x.

y=sqrt(x(x-8))rArry=sqrt(x^2-8x)rArry=x(x8)y=x28x

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