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The chain rule is incredibly useful when differentiating compositions of funcions. Until now you have really only met dy/dx as your derivative. By imagining dy/dx as a fraction, you can transform it into som...

There are two ways you can take the derivative of a^x. 1) Let y = a^x now we're trying to find dy/dx 2) ln(y) = xln(a) take logs of both sides and use log rules 3) (dy/dx)*(1/y) = ln(a) take the derivative o...

In my experience the sure fire way to prove trig identities is by doing the following: 1) Assess the question e.g. is it obvious you're going to need a double angle or addition formula, can you see where cos...

There are a few different types of integration, the most common being Riemann integration . Riemann integration allows you to find the area under the graph of a function between two points. Its definition us...

In a translation the graph of the function is moved in either the x or y direction. To perform a translation by amount a in the positive x direction (to the right on a graph) we replace every x in the equati...