- #1
Haldhad
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Homework Statement
This is really bugging me it's actually a calculus question, I got to the last step, but couldn't work out how they went from that to the answer.
Homework Equations
The Quotient rule but don't trouble yourself, I am just worried about the algebraic manipulation involved.
The Attempt at a Solution
Well I went from:
(x-2)/(x^3-6x+23)^(3/2)
Using both the chain rule and quotient rule, but this irrelevant. I have the answer, just not sure why it works.
I got:
[1-(3x-2)(2x-6)]/[2(x^2-6x+23)^(5/2)]
And can't seem to work to:
(-2x^2+9x-5)/(x^2-6x+23)^(5/2)
Which comes from that rule as well.
Please move this if its calculus and not just algebra. But this is doing my head in, am I factorising badly. I should know this by now!
It's something I will be marked on and I really don't need to explain the simplification, they give the answer as part of the question btw, so it's understood as true, but for peace of mind!
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