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Solve the equation 4x + 2 = -5x + 20

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 group all of the like terms together, that i...
BJ
Answered by Ben J. • Maths tutor
6447 Views

What is the general rule for differentiation?

In differentiation you multiply the coefficient of the subject (what the value is multiplied by e.g. 3 is the coefficient of 3x 6 ) by its exponent (the power that the value is raised to e.g. the exponent of...
OB
Answered by Oisin B. • Maths tutor
4715 Views

How do I know when a quadratic function crosses the y-axis?

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 th...
SR
Answered by Scott R. • Maths tutor
7294 Views

How would you differentiate f(x)=3x(2x-1)^2

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, we put this expression altogether: As f'(x) = uv' + u'v f'(x)=...
RZ
Answered by Ruihang Z. • Maths tutor
6996 Views

The first three terms of a sequence are a, b, c. The term-to-term rule of the sequence is 'Multiply by 2 and subtract 4'. Show that c = 4(a – 3).

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 sequence. ...
RB
Answered by Robin B. • Maths tutor
13151 Views