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OpenStudy (anonymous):
Find dy/dx by implicit differentiation. (x^3)(y^3)-y=x
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OpenStudy (anonymous):
The answer I get is ((x- (3x^2)(y^3))/((3y^2)(x^3)-1), but my book says its wrong.
hartnn (hartnn):
is it (1-3x^2y^3)/(3y^2x^3-1) ??
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
really close, but the derivative of the x on the right is 1
OpenStudy (anonymous):
oh! I forgot about taking the derivative of the x! >.< thanks!
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hartnn (hartnn):
yup, just that, d/dx (x) =1 on right.
OpenStudy (anonymous):
You're welcome. <high five @hartnn>
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