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A quadratic expression is of the form ax^​2+bx+c. It is often useful to know what values of x will make the expression equal to 0; these are known as the roots of the equation. An easy way of...

Parametric equations are a set of equations which both depend on the same variable, such as t. An example of this would be:

x = 2t²​+1 and y = t^​4​-2

A...

A key point to remember here is that a^x could mean the base (a) is not “e”-that special number which has a gradient function, dy/dx (the differential), EQUAL to the function itself, y=e^x. When "a&q...

By recalling that e^ln(a) = a, you can rewrite 3^2x as e^2xln(3).

Then, you can differentiate this like any other e function, by using the product rule.

To do this, there are two rules, the Sine Rule and The Cosine Rule. 

The sine rule is a/Sin A   = b/Sin B = c/Sin C.  (the lower and uppercase are very important. The rule also stands if ...