Product Rule
f'(x)g(x)+f(x)g'(x)
In calculus, the product rule is a formula that is used to find the derivative of the product of two functions. It is often used when one function is multiplied by another function that also depends on the same variable. The product rule states that if y = f(x)g(x), where f(x) and g(x) are functions of x, then:
dy/dx = f(x)g'(x) + g(x)f'(x)
In other words, the derivative of the product of two functions is equal to the first function multiplied by the derivative of the second function, plus the second function multiplied by the derivative of the first function.
The product rule is very useful in calculus because it allows us to find the derivative of a function that is the product of two other functions without having to use the definition of the derivative or limit notation.
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