The+Product+Rule

"The product of two differentiable functions f and g is itself differentiable. Moreover, the derivative of fg is the first function times the derivative of the second, plus the second function times the derivative of the first. " In other words: two functions, f(x) and g(x), that are differentiable can be derived through multiplication by one of the two functions being multiplied by the other's derivative, and vise-versa, then adding them together.



The product rule is used when finding the derivative of two functions that are being multiplied together. It could be a radical and an expression, a radical and a trig function, a trig function and an expression, two radicals, two trig functions, two expressions, and other combinations as well. Here are some problems where you will use the Product Rule: [|Video to further your understanding of the Product Rule!!!]