Please HELP!?

Question

Let f(x) = (x^2 + 3)^2(x^3 – 2)^3/(4x – 1)^5. Determine f ‘ (x). Leave the derivative in un-simplified form.

Answer 1

Start with the rule for the derivative of a quotient, then to the derivative of a product (when you have to take the derivative of the numerator), then use the rule for the derivative of a function to a power for each term in the product.

It's a bunch of 'book-keeping' more than anything else.

Doug

Answer 2

'low dee high minus high dee low, draw the line and square below'

which means take the bottom and multiply it by the derivative of the top, then subtract the product of the top by the derivative of the bottom, then put all that over the square of the bottom

sorry, but I'm too lazy to type out the solution for you! actually, I'm too lazy to get the derivative of that numerator - thank goodness I'm done with calculus, probably for the rest of my natural life!!

(btw, the rule to derive the numerator was taught to me as "one dee two plus two dee one, calculus is so much fun" - silly rhymes, but if you consider I remember them both 8 years later, you understand why they started...)