Whether the statement, “If f and g are differentiable, then ” is true or false.
The statement is true.
A function is differentiable at point x, then .
By the definition of the derivative .
Since g is differentiable, then
Since f is differentiable, then
Let and then substitute in equation (2),\
Substitute in the above equation,
Substitute in equation (1),
Therefore, the given statement is true.
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