f(x)g'(x) + g(x)f'(x)
derivative of the multiplaction of two functions
The given expression is the product rule of two functions f(x) and g(x), where the derivative of f(x) is multiplied with g(x) and the derivative of g(x) is multiplied with f(x).
This expression can be written in the form of the derivative of the product of f(x) and g(x), which is:
(f(x)g(x))’
Using the product rule to find the derivative of the product of two functions, we get:
(f(x)g(x))’ = f(x)g'(x) + g(x)f'(x)
Therefore, the given expression can be simplified to the derivative of the product of f(x) and g(x):
f(x)g'(x) + g(x)f'(x) = (f(x)g(x))’
This is a useful formula in calculus that enables us to find the derivative of the product of two functions. It is commonly used in applications related to optimization, such as finding the maximum or minimum value of a product function.
More Answers:
Learn How To Differentiate X^N With Respect To X Using The Power Rule Of Differentiation.How To Find The Derivative Of F(X)/G(X) Using The Quotient Rule Of Differentiation
F'(X) – G'(X): Evaluating The Difference Between Derivatives Of Two Functions