Determine whether the statement is true or false.
If f is differentiable, then .

Name: Determine whether the statement is true or false. If f is differentiable, then .
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Question

Determine whether the statement is true or false.
If f is differentiable, then  .

Quizplus · Accepted Answer

This statement is true due to the chain rule of differentiation. If f is differentiable and g is a differentiable function of x, then the composite function h(x)=f(g(x)) is also differentiable, and its derivative is given by h'(x)=f'(g(x)) * g'(x).

Determine Whether the Statement Is True or False