Using Exps & Logs in Modelling What is exponential modelling? Exponential modelling is where real-life situations are modelled using exponential growth and decay Exponential growth is typically...
Exponential Growth & Decay What are exponential growth and exponential decay? y = Aekt is exponential growth y = Ae-kt is exponential decay k > 0 so plus or minus sign in equation immediatel...
Exponential Equations What are exponential equations? An equation where the unknown is a power In simple cases the solutions can be “spotted” How do I solve exponential equations? Laws of In...
Laws of Logarithms What are the laws of logarithms? There are many laws or rules of indices, for example There are equivalent laws of logarithms (for a > 0) There are also some particular result...
Derivatives of Exponential Functions What is the derivative of e? y = ex has the particular property ie for every real number x, the gradient of y = ex is also equal to ex (see Derivatives of Expon...
"e" Exponential Function What is e, the exponential function? The exponential function is y = ex e is an irrational number e ≈ 2.718 As with other exponential graphs y = ex passes through (0, 1) ha...
Logarithmic Functions Logarithmic functions a = bx and log b a = x are equivalent statements a > 0 b is called the base Every time you write a logarithm statement say to yourself what it means l...
Exponential Functions Exponential functions Exponential functions of the form y = ax with a > 0 are considered at A level Exponential graphs All graphs of the form y = ax will pass through (0, 1...
Modelling with Trigonometric Functions Modelling with trigonometric functions Various real-life situations can be modelled using trigonometric functions You need to be able to interpret the equatio...
