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Whenever there is an equation in the form f(x)=u/w, the quotient rule tells us that: f '(x)= [w(du/dx)-u(dw/dx)]/v 2 *It looks complecated but if you break it down, it is simple. All you need is u, v, du/dx ...

First you must show that the statement on the right hand side is true for n=1: Σ i=0 i 2 when n=1, is equal to 1 2 =1 (1/6)(1+1)(1+2)=(1/6)(2)(3)=1 This means that the statement is true for n=1. Next you ass...

To differentiate X a , where a is any real number, you multiply X by a, and subtract 1 from the power. i.e. d(X a )/dX=aX a-1

simulatneous equations are solved by eliminating one of the unknowns such as x or y. there are a number of ways to do this such as substitution or subtraction/addition. For this example we will use subtracti...

I would ask the student what they understood of percentages and if they understood the relationship between fractions and percentages. I would explain that 1% of a value is the same as 1/100 of a value. The ...