Master calculus with our Product Rule Derivatives Calculator. This essential online tool helps you quickly find the derivative of a product of two functions, f(x)g(x), by applying the fundamental product rule formula: (f(x)g(x))' = f'(x)g(x) + f(x)g'(x). Simply input your functions and their respective derivatives to get instant results, enhancing your understanding and problem-solving efficiency in differentiation.
Formula:
The Product Rule for differentiation states that if you have two differentiable functions, f(x) and g(x), the derivative of their product is given by the formula:
(f(x)g(x))' = f'(x)g(x) + f(x)g'(x)
Where:
- f(x) is the first function
- g(x) is the second function
- f'(x) is the derivative of the first function
- g'(x) is the derivative of the second function