The Product Rule (4.2.1)

Question 1

The derivative of a product of two functions is not necessarily equal to the product of what?

Answer 1

• The derivative of a product of two functions is not necessarily equal to the product of the two derivatives.

Question 2

What does the product rule state?

Answer 2

• The product rule states that if p(x) = f(x)g(x), where f and g are differentiable functions, then p is differentiable and p’(x) = f(x)g’(x) + g(x)f’(x).