Wierd Q to take a derivative of

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wierd Q to take a derivative of...

y=(x)/((x+2)(x+3)(x+4)).
how to do u take the derivative? HELP! :confused:
 
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So is it

y(x)=\frac{x}{(x+2)(x+3)(x+4)}

Do u know to apply the

1.Quotient's derivative rule.
2.Leibniz product rule...?

Daniel.
 
AARGH!

DO NOT DOUBLE, TRIPLE, OR QUADRUPLE POST IN THE FUTURE!
 
The easiest way would be to rewrite it like this first:

y=(x) * (x+2)(^-1) * (x+3)(^-1) * (x+4)(^-1)
 
haha, i guess i'd get mroe help dat way, but, oops hehe
 
the easiest way is actually probably to just multiply out the denominator:

\frac{x}{(x+2)(x+3)(x+4)} = \frac{x}{x^3 + 9x^2 + 26x + 24}

and then just use the product rule and the fact that

\frac{d}{dx}\frac{1}{f(x)} = -\frac{f^\prime (x)}{\left[f(x)\right]^2}
 
the4thcafeavenue said:
haha, i guess i'd get mroe help dat way, but, oops hehe
At least, now you've learned your lesson, right? :wink:
 

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