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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
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You are right
I think you forgot to multiply the inner derivative on cos, tan and exp.
And the arguments for ^ should also be differentiated in case they are nested expressions.
I will add test cases for these as soon as CW stops timing out.
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