What is the 20th derivative of cos(3x)
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What is the 20th derivative of cos(3x)

[From: ] [author: ] [Date: 12-04-09] [Hit: ]
but my homework says that it is wrong.Since the derivative of cosx is -sinx and the derivative of sinx is cosx I just alternated between sin and cos and changed the sign of the expression every other time until I got to the 20th derivative. I also just took 3^20 and used that as the constant out in front.-3^20 sin(3x) = 3,486,784,......
I found it to be: 3,486,784,401sin(3x), by using the chain rule, but my homework says that it is wrong. Since the derivative of cosx is -sinx and the derivative of sinx is cosx I just alternated between sin and cos and changed the sign of the expression every other time until I got to the 20th derivative. I also just took 3^20 and used that as the constant out in front.

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3^20 sin(3x) = 3,486,784,401sin(3x) is correct. What's the answer did your teacher give?
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