Top answers

What is the quotient rule and how is it applied?

The quotient rule is a formula used to differentiate fractions that contain terms of x in both the numerator and the denominator (we usually refer to this as f(x)/g(x)). As it isn't possible to differentiate...
PH
Answered by Pete H. • Maths tutor
6438 Views

How can the cosine rule be derived?

Sorry in advance for the lack of a diagram, which would have made this explanation so much clearer. Also, the published version of this seems to ignore Unicode formatting, so I will add underscores (_) where...
PT
Answered by Peter T. • Maths tutor
4544 Views

How do I factorise x^2 + 8x + 15?

Factorising is the process of putting brackets into an equation. Ideally the end equation should be as simple as possible, with the smallest numbers possible. The first step is to find the factor pairs of th...
CB
Answered by Chloe B. • Maths tutor
50863 Views

How do I expand and simplify linear equations?

Let's take the example: 3( x + 2) + 2( x - 1) Start with the first part: 3( x + 2) We have to multiply what is outside of the bracket with the individual things inside the bracket sparately and add them toge...
AO
Answered by Alexis O. • Maths tutor
15084 Views

Show that the integral of tan(x) is ln|sec(x)| + C where C is a constant.

First, recall that tan(x) can be rewritten in terms of sine and cosine. tan(x) = sin(x)/cos(x) The rephrasing of our question suggests that we should try the substitution rule of integration. We should subst...
AS
Answered by Anja S. • Maths tutor
209833 Views