What is the derivative of:
(secu)^(n-2)?
Is it (n-2)(secu)^(n-3) tanu?
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OpenStudy (anonymous):
n is an integer
OpenStudy (anonymous):
hi. oh, ok
OpenStudy (anonymous):
what about u?
OpenStudy (anonymous):
just a variable
OpenStudy (anonymous):
not a function of x?
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OpenStudy (anonymous):
ok, u is not a function of x, then i think you are gonna want to check the exponent of sec u
OpenStudy (anonymous):
still there?
OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
i got it
OpenStudy (anonymous):
in case you get this, everything looks ok except the exponent on sec u. the n-2 out front is good, the sec^(n-3) times the sec u tan u (chain rule) is what is affecting the exponent
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OpenStudy (anonymous):
do you see what the exponent is now for sec u?
OpenStudy (anonymous):
it's n-3 no?
OpenStudy (anonymous):
the n-2 in front is correct. you also have product of secu^(n-3) and then there is the chain rule that multiplies by secutanu. so, it is not n-3
OpenStudy (anonymous):
do you see what i am trying to point out?
feel free to ask any questions
OpenStudy (anonymous):
are you still having difficulty?
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OpenStudy (anonymous):
oh pellet
OpenStudy (anonymous):
you are correct
OpenStudy (anonymous):
it would still be sec^(n-2)
OpenStudy (anonymous):
niiice
OpenStudy (anonymous):
(n-2)(secu)^(n-3) times secutanu which equals (n-2)(secu)^(n-2) times tanu
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OpenStudy (anonymous):
very cool
you got it
OpenStudy (anonymous):
now i have to rewrite this wholeeeeeeeeeee thing......... thanks
OpenStudy (anonymous):
dontcha just hate the whole rewriting thing? If there is nothing else i can help with, i will bid you adieu