How do I take the derivative of:
$\left ( \frac{1}{T^4} \right ) \left (\frac{1}{K-T} \right )$
Can I just use the product rule? IT seems like it get pretty complicated pretty fast
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The product rule should work. Do you know how to differentiate each term in the product separately? If you can do those, and you apply the product rule, it should give you the answer. – Robin Saunders Oct 01 '14 at 05:09
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Applying the product rule would be just fine. – Ozera Oct 01 '14 at 05:10
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Yes you can use the product rule. – Jasser Oct 01 '14 at 05:10
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It seems to get pretty complicated...are there tricks to reduce it? – Jackson Hart Oct 01 '14 at 05:13
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If you use quotient rule of differentiation you have to do the same level of work. – Jasser Oct 01 '14 at 08:39
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Using the product rule it has to be: $$ -\frac{4}{(K-T)T^{5}} + \frac{1}{(K-T)^{2}T^{4}} $$
nullgeppetto
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$d(fg)/dx= g*df/dx+f*dg/dx$
$f=1/T^4$ , $g=1/(k-T)$
$df/dT=-4/T^5$ , $dg/dT=1/(k-T)^2$
I am sure you can carry out from here.
Jasser
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Where? I have made some edits so far, so it is possible I had some typo... – nullgeppetto Oct 01 '14 at 05:24
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