Differentiation
rewrite gradient of line: m= f(x+h)  f(x)/h scalar product rule d/dx (ku(x)) = ku'(x) where k is a scalar derivative of a sum: d/dx. (u(x)+v(x)) = u'(x)+v'(x) Vectors
Matrices
Trig Functions
amplitude = a period = 2π/b horizontal shift =  c/b vertical shift = d sin(x) starts at 0, cos(x) starts at one Expon  e = eulers's constant. domain/range : _ (> or <) _ Logarithmic Differentiation
Area Between Curves

Integrals
∫x^{n}dx = x^{n+1}/n+1 + C only applies when n does NOT equal 1 when n= 1, ∫1/x dx applies Indefinite Integral: no numbers at top of bottom. Definite Integral: solve for a number that represents the areas under the curve from x=a to x=b no integration constant in this situation rulesproduct rule: x multiplied together in different forms eg. y = e^{2}e^{x} chain rule: inner function u(x) outer function: y(u) looking for function within a function eg. y=ln(sin(x)). let u equal the inner function quotient: x in both the numerator and denominator eg. y = e^{x}x^{2} remember 1/a^{n} = a^{n} Functions & Algebraic Structure
Function – can have only one output, y, or each unique input, x. Relation  can have more than one output, y, for each unique input, x. may be be more than one root for a function. roots can also be called xintercepts and zeros linear: mx= gradient/slope C= yintercept quadratic: pos a = 'happy face', neg a = 'sad face' 
Explicit/ImplicitExplicit: dependent variable is written explicitly in terms of the independent. eg. y = 3x + 5 Implicit: dependent variable is not isolated to one side of equation eg. 3x + 5  y = 0 Explicit differentiation: when starting with implicit from that is rearrangeable, rearrange then do. Implicit differentiation: relies on the chain rule. No rearranging required Differential Equations
A differential equation is just a mathematical equation that involves derivatives. can have more than one solution 
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QUT MXB100 Cheat Sheet (DRAFT) by [deleted]
QUT MXB100 Exam Cheat Sheet
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