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Use chain rule for the first three derivatives of cos^2(2x)

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I need to know how to find first 3 derivatives for f(x) = cos(sq) 2X. I am able to find derivatives for similar problems, but the 2X portion is throwing me off. Any assistance you can provide will be greatly appreciated. Please explain how to similar problems with a coefficient in front of the variable.

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Solution Summary

In this exercise, the first three derivatives of cos^2(2x) are found. Chain rule is used. A free example (1+3x)^8 involving chain rule is also included.

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I need to know how to find first 3 derivatives for f(x) = cos(sq) 2X. I am able to find derivatives for similar problems but the 2X portion is throwing me off. Any assistance you can provide will be greatly appreciated. Please explain how to similar problems with a coefficient in front of the variable.

Solution:
Whenever there is 2x (but not ...

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