APFIVE Implicit Differentiation Process
All of the following statements regarding implicitly differentiating $$\sin(x*y) + x = y$$ are true except:
A
Collecting like terms involving $$dy/dx$$ allows solving for the derivative.
B
The derivative of $$\sin(x*y)$$ is simply $$\cos(x*y)$$.
C
The derivative of $$x$$ with respect to x is 1 and that of $$y$$ is $$dy/dx$$.
D
Differentiating $$\sin(x*y)$$ requires the chain rule, leading to $$\cos(x*y)*(y + x*(dy/dx))$$.
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