find the derivative: f(x) = (5) / (over) (2x-3)^4

[luvmykids911]

I am trying to help my son (Nathan 23) with his calc class. I am stuck on it as well as him. It says we need to find the derivative:

f(x) = (5) / (over) (2x-3)^4

Can anyone suggest any online material that can help me figure this out. He doesnt have a book they are just using worksheets that does describe stuff too well. Thanks.

 

[stapel]

So your son needs to take the derivative of the following:

. . . . .\(\displaystyle f(x)\,=\,\frac{5}{(2x\,-\,3)^4}\)

You asked for online instructional material. For your own searches, it should be noted that the above will require using "the Quotient Rule". The following resources may be helpful:

. . . . .The Quotient Rule: a movie

. . . . .Paul's Online Notes: The Product and Quotient Rules

. . . . .The Quotient Rule: how to remember it

. . . . .Karl's Calculus Tutor: More Rules to Live By

If your son needs further assistance after having studied the above, please have him reply showing all of his steps.

Thank you.

Eliz.

 

[galactus]

The resources Stapel listed are superb. You could also use the product rule.

\(\displaystyle 5(2x-3)^{-4}\)

First times derivative of second, plus the second times the derivative of the first.

Take 5 times the derivative of \(\displaystyle (2x-3)^{-4}\) plus \(\displaystyle (2x-3)^{-4}\) times the derivative of 5.

The second half turns out to be 0, so hopefully it won't be too bad for you.

OK?. See?.