How Do You Find The Derivative Of An Algebraic Function Using The Product Rule?
The functions used in the article have expressions that are difficult to express in the text portion of the steps below. Becuse of this, most of the work will be done and shown in the images. When taking the derivative of a function containing two different functions [g(x) and h(x)] that are multiplied together, the Product Rule must be used. The Product rule states that we take the first function, g(x), and mulitply it by the derivative of the second function, h(x), and then add the result to the product of the derivative of the first function, g(x), mulitplied by the second function, h(x). The Product Rule is shown in the image, as well as the function used in this example. The Product Rule requires the derivatives of both g(x) and h(x), and so we must first find the derivative of g(x). To do this, we can use the Power Rule. We subtract one from the exponent, and then multiply the coefficient of x by the original exponent. The result of this is 8x. Please click on the image for a bet
