SOLUTION: Given that y=(x-3)square root x-1, find dy/dx and the value of x for which the gradient is zero.

SOLUTION: Given that y=(x-3)square root x-1, find dy/dx and the value of x for which the gradient is zero.

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Question 1190932: Given that y=(x-3)square root x-1, find dy/dx and the value of x for which the gradient is zero.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
y=(x-3)*sqrt(x-1)
y'=(x-3)*1/2(sqrt(x-1)+(sqrt(x-1))
set y'=0
move one of the terms.
-sqrt(x-1)=(x-3)/2sqrt(x-1)
-2(x-1)=x-3
-2x+2=x-3
3x=5
x=(5/3) y=-1.09

5/3 is the answer
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