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February 1, 2015

February 1, 2015

Posted by **angie** on Thursday, February 16, 2012 at 11:31am.

- Calculus -
**MathMate**, Thursday, February 16, 2012 at 2:44pmUse implicit differentiation:

sin^-1(xy)=cosy

sin(cos(y))=xy

differentiate both sides with respect to x

(use chain rule):

cos(cos(y))(-sin(y))y'=y+xy'

Collect terms and solve for y'

y'=-y/(cos(cos(y))sin(y)+x)

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