Question

When differentiating a composite function, which procedure is correct?

Options

• First differentiate the inner function, then add the derivative of the outer function.

• First differentiate the outer function, then multiply by the derivative of the inner function.

• Multiply the outer function by the inner function.

• Differentiate only the outer function.

Answer 1

The chain rule begins with the derivative of the outer function. That result must be multiplied by the derivative of the inner function.