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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...

Generally you will be asked to find the root of an equation of the form F(x) = 0. In my answer below I will only touch on graphical methods, but will go into deeper detail on showing that a root lays in a gi...

Step 1 - Identify the difference bet ween the required form of the answer and the expression to be simplified: It can be seen that in order to simplify the expression we need to somehow get rid of the denomi...

(7+√5)/(√5-1) In this example we are given (√5-1) as our denominator, and we want to simplify this complex fraction into the form a + b√5. In order to do this our first step is to elimate the denominator. To...

Easy! We first consider which number is in the square root. Then we look at it's factors:- if any of factors are square we can immediately take their root out of the overall square root. Once all the square ...