Ill help you get the answer but i cant give it for every single one so ill give you some rules to use...

If you differentiate then you get . (n being a real number)

Re-write problem 1 as and use the above on that...

The chain rule will come in useful for a lot of these... Chain rule - Wikipedia, the free encyclopedia

Use the Quotient Rule for question 4... Give it a try and see how you get on.

Product rule: .

Ill use your question 5 as an example...

In this case we have and . So we leave 'u' as it is and differentiate sin3x (using the chain rule) to get 3cos3x. Then leave 'v' as it is and differentiate cos2x to get -2sin2x. Now add these together to get .