APFIVE Properties of the Chain Rule
All of the following statements regarding the chain rule in the differentiation of composite functions are true except:
A
The chain rule is essential for differentiating compositions of functions.
B
Incorrect application of the chain rule is a common source of errors in differentiating composite functions.
C
For a composite function $$f(g(x))$$, the derivative is computed as $$f'(g(x))*g'(x)$$.
D
The chain rule states that the derivative of a composite function $$f(g(x))$$ is $$f'(x)*g'(x)$$.
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