- #1
longrob
- 52
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Homework Statement
find [tex]\frac{\mathrm{d}y}{\mathrm{d}x}[/tex] where y is defined implicitly as a function of x
Homework Equations
[tex]x\sin(xy)=x[/tex]
The Attempt at a Solution
[tex]x(\cos(xy)(x\frac{\mathrm{d}y}{\mathrm{d}x}+y))+\sin(xy)=1[/tex]
[tex]\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{1-\sin(xy)-xy\cos(xy)}{x^2 \cos(xy)}[/tex]
Apparently the correct answer is [tex]\frac{1-y\cos(xy)}{x}[/tex]
Thanks !