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I was wondering what the answer to this question is. I just had a test and I want to make sure I was correct. So I need to find the derivative of $$ \int_{x^6}^{0} \cos(\sqrt{t}) ~ dt $$ (I believe it is $dt$ however I may be wrong and it could have been $dx$.)

The answer I thought was $-3x^2 \cos(x^3)$ but now I realize the answer might be $-6x^5 \cos(x^3)$. Thank you in advance!

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    Unfortunately, it is the second answer which is right (the one with $-6x^5$).2011-12-06
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    Indeed, by the FTC and the chain rule, it's the latter.2011-12-06
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    Yeah I had the feeling I did the chain rule wrong thanks though *sigh*2011-12-06
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    You should post your answer.2011-12-06

3 Answers 3