APFIVE Implicit Differentiation Process
All of the following statements regarding implicitly differentiating $$xy+\frac{y}{x}=2$$ are true except:
A
Implicit differentiation of the term $$xy$$ involves the product rule.
B
The derivative of $$\frac{y}{x}$$ with respect to $$x$$ is $$\frac{dy/dx}{x}$$.
C
Differentiating $$\frac{y}{x}$$ requires the quotient rule, yielding $$\frac{x*(dy/dx)-y}{x^2}$$.
D
Combining the differentiated terms allows one to solve for $$dy/dx$$.
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