if tan(xy)=x, then dy/dx= ?

Calculus
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if tan(xy)=x, then dy/dx= ?

Apr 8th, 2015

Differentiate both sides (use the derivative of the product): sec^2(xy) (xy' + y) = 1; xy' + y = cos^2(xy), or

y' = (cos^2(xy) - y) / x.

Apr 8th, 2015

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