# Chain rule / quotient problem

• December 6th 2009, 09:13 AM
Archduke01
Chain rule / quotient problem
$f(x) = [(3x^2 + 2x + 1) / (3 - 2x^3 + x^2)]^5
$

So I use chain rule, which also involved use of the quotient rule.

5[(3x^2 + 2x + 1) / (3 - 2x^3 + x^2)]^4 * [(3 - 2x^3 + x^2) (6x+2) - (3x^2 + 2x + 1) (-6x^2 + 2x)] / (3-2x^3 + x^2)^2

Am I on the right track? It seems awfully long and I suspect I messed something up.
• December 6th 2009, 11:57 AM
tonio
Quote:

Originally Posted by Archduke01
$f(x) = [(3x^2 + 2x + 1) / (3 - 2x^3 + x^2)]^5
$

So I use chain rule, which also involved use of the quotient rule.

5[(3x^2 + 2x + 1) / (3 - 2x^3 + x^2)]^4 * [(3 - 2x^3 + x^2) (6x+2) - (3x^2 + 2x + 1) (-6x^2 + 2x)] / (3-2x^3 + x^2)^2

Am I on the right track? It seems awfully long and I suspect I messed something up.

Everything's correct! Next time though try to use, in LaTeX, the "\frac" thing to write fractions: it'll be way clearer and easier to read.

Tonio