Implicit Differentiation and The Chain Rule
Assuming is a differentiable function of , why is the chain rule essential when differentiating the expression with respect to ?
A
The presence of both x and y variables always mandates the use of the chain rule, regardless of their relationship
B
The denominator contains x, necessitating the use of the quotient rule in conjunction with the chain rule
C
The negative sign in front of the fraction requires the chain rule to properly distribute the differentiation
D
The expression contains y, which is implicitly a function of x, requiring the chain rule to account for the indirect dependence on x
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