How can you write out the nth derivative of sin(x)?

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- Sep 22nd 2009, 11:31 AMsomaWhat Is The nth Derivative of sin(x)
How can you write out the nth derivative of sin(x)?

http://www4a.wolframalpha.com/Calcul...image/gif&s=59 - Sep 22nd 2009, 11:58 AMartvandalay11
Let

and then the cycle repeats

So you could just write it out using if's and keep dividing the n of by 4 to get the remainder

But upon further analysis, we realize

So - Sep 22nd 2009, 12:03 PMsoma
Works for me, thanks!