Product Rule for Derivatives Example x^4*e^x #calc1

This short vid goes over the product rule for taking a derivative. When there are two functions of a variable multiplied by one another and they can't be simplified or reduced, we use the product rule.

Its formula is: the derivative of the first function times the second function plus the first function times the derivative of the second function. Since they are added this will give the same answer when they are reversed.

In this example, x^4 is the first functions and e^x is the second. After applying the formula we get (4x^3)(e^x) + (x^4)(e^x). Make sure to factor out the common factors for a correct answer. In this case the answer becomes (x^3 * e^x)(4 + x).

Ask your teacher or professor about simplifying at the end. They probably want you to do it.

Make a cheat sheet of all the derivative rules with a simple example of each. Look at it every day and you will learn them all in no time!

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Видео Product Rule for Derivatives Example x^4*e^x #calc1 канала Math Microdose