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OpenStudy (anonymous):
d^75 / dx^75 of (sinx)?
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OpenStudy (turingtest):
after how many (i.e for which n) derivatives does \[{{d^n}\over{dx^n}}\sin x\]repeat?
OpenStudy (anonymous):
75
OpenStudy (dumbcow):
it repeats every multiple of 5
OpenStudy (anonymous):
OpenStudy (anonymous):
It looks like that
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OpenStudy (turingtest):
yeah, and u=sinx, u'=cosx, u''=-sinx, u'''=-cosx, u^(4)=sinx so they repeat
OpenStudy (anonymous):
So u^5 = cosx?
OpenStudy (turingtest):
yep
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