Product Rule
The product rule is a formula used in calculus to find the derivative of the product of two functions
The product rule is a formula used in calculus to find the derivative of the product of two functions. If you have two functions, f(x) and g(x), the product rule tells us that the derivative of their product, h(x) = f(x) * g(x), is given by:
h'(x) = f'(x) * g(x) + f(x) * g'(x)
In other words, to find the derivative of a product of two functions, you differentiate the first function and multiply it by the second function, then add it to the product of the first function and the derivative of the second function.
This rule is useful when you have a function that is a product of two or more simpler functions, as it allows you to find its derivative without having to expand the product and differentiate each term individually. It is one of the fundamental rules of differentiation in calculus.
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