Properties of the Chain Rule

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All of the following statements about the chain rule for differentiating composite functions are true EXCEPT:

The chain rule states that the derivative of a composite function $f(g(x))$ is $f'(x)*g'(x)$ .

The chain rule is essential for differentiating compositions of functions.

Incorrect application of the chain rule is a common source of errors in differentiating composite functions.

For a composite function $f(g(x))$ , the derivative is computed as $f'(g(x))*g'(x)$ .

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