- #1
DollarBill
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Homework Statement
Find the value of dy/dx at x=2 when
x2+xy=5
The Attempt at a Solution
To find y:
22+2y=5
y=1/2
To find dy/dx:
2x(dx/dx)+x(dy/dx)+y(dx/dx)=0
2x+x(dy/dx)+y=0
(dy/dx)=(-2x-y) / x
Plug in y and x:
dy/dx=-2(2)-(1/2) / 2
dy/dx=-9/4 when x=2