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You can express tan(x) as sin(x)/cos(x). Therefore, tan(x)= sin(x)/ cos(x)The quotient rule can be applied here as there is a function of x in the numerator and denominator.Quotient Rule: (v*(du/dx) - u*(...

Algebra is the enemy of many a student, but I'm here to show you that this (and many more concepts in maths!) really aren't that bad. 

For this problem, we need to ...

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, ...