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Single Variable Calculus

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Difficult

Implicit Differentiation of Trig Functions

SVCALC-KLARLD

Find $y'$ for the function:

$$\cos(xy)=1+\sin(y)$$

A

$-\cfrac{y \sin(xy)}{x \sin(xy)+\cos(y)}$

B

$-\cfrac{\cos(y)- \sin(xy)}{x \sin(xy) }$

C

$-\cfrac{\cos(y)- \sin(xy)}{x }$

D

$\cfrac{y \sin(xy)}{x \sin(xy)+\cos(y)}$