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Differentiation is used to find the gradient of a line, or curve. It can also be used to find the co-ordinates of stationary points, whether these be minimum, maximum or points of inflection. The second deri...

Every complex number has complex square roots. However since we don't know how to deal with expressions such as √i we need to follow a specific method to find the square roots of a complex number. Let's cons...

Absolutely. Consider a point (a,b). This may be represented by the complex number a+bi and also by the column vector (a;b), where the semicolon means 'new line'. To translate the point by +(c,d), in complex ...

Argand diagrams are, like graphs, a visual representation. Instead of representing an equation though, Argand diagrams represent numbers. Any number can be represented on an Argand diagram, be it real, imagi...

y = 4x^3 + 7 x Recall: to differentiate any function of the form y = x^n dy/dx = y' = n x^(n-1) Hence if y = 4x^3 + 7x dy/dx = 4 ( 3x^3 -1) + 7x^(1-1) = 12 x^2 + 7