SOLUTION: Please help me with this problem: Differentiate: {{{y = xe^(x^2)-arcsin(cosx)}}}

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Question 1034951: Please help me with this problem:
Differentiate: y+=+xe%5E%28x%5E2%29-arcsin%28cosx%29
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You need the Sum Rule:

If

Then

The Product Rule:

If

Then

And the Chain Rule:

If

Then



So by the Sum Rule



For the first term, you need the Product Rule, and for the second term, the Chain Rule:



The second term requires another application of the Chain Rule:



Finally,



John

My calculator said it, I believe it, that settles it