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This question has two parts, firstly the "12x(2x+1)" this is a product rule format, the 1/x is a simple differentiation format but for ease should be written as "x^(-1)" solution: dy/d...

Note: sorry for the lump of text, the format of the site will not allow paragraphs unfortunately... when I put // it means new section or new paragraph, sorry again for the inconvenience caused.//

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Bring the power down and multiply it to the value directly before x, and then remove 1 from the power after this. So in this instance 12 has no x or power with it, therefore it disappears because you mult...

Here you need to use the formula that the differential of e^f(x), where f(x) is any function, is equal to f'(x)e^f(x). So for our function we differentiate xsinx using product rule to give sinx + xcosx. ...

This question requires you to use the trigonometric identity sin(A+B)=sinAcosB + sinBcosA. The difficulty in this problem is noticing that you need to substitute 2A for A+A and then you can simply put thi...