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In differentiation you multiply the coefficient of the subject (what the value is multiplied by e.g. 3 is the coefficient of 3x⁶) by its exponent (the power that the value is raised to e.g. ...

The key thing to remember here is that the y-axis is a straight line and all of the points that lie on it have the x-value of 0. This means that the curve crosses the y-axis when x=0 so you can substitute...

This question is really straight forward

By using the Chain rule: f'(x) = uv' + u'v.

let u=3x, so u'=3

let v=(2x-1)^2, so v'=2x2(2x-1)=8x-4

Now, ...

As the answer is given in the question, it's really important that you lay out your working carefully to give a convincing account as to how you got from the question to the answer. 
Here we have a <...

If you are trying to find the sine of an angle, remember: SOH

The sine of an angle (S)= the length of the opposite side (O) / the length of the hypotenuse (H)

If you are try...