Search over 10,000 free study notes

Have you heard of the BODMAS / BIDMAS rule? This rule changes your answer from 42 to 3 instead. that is because this rule says you need to follow a specific order when calculating. It seems easy but is quite...

Differentiation is defined as the rate of change of a function. Imagine we had a function f(x), which we shall let equal x 2 . We all know what the graph of x 2 looks like. The derivative of x 2 is 2x. This ...

First of all, we have to raise to the power of two the first equation and will obtain: p^2 + 5q = 64. We have to proceed the same for the second equation and will obtain: p^2 - 3q = 36. Second step is to sub...

Step 1: Rearrange y = arctan(x) as tan(y) = x. Step 2: Use implicit differentiation to differentiate this with respect to x, which gives us: (dy/dx)*(sec(y))^2 = 1. Step 3: Rearrange this equation to give us...

Sin^2(x) cannot be integrated in its current form so you must use trigonometric identities to change sin^2(x) into something else. Use the formula for cox(2x): cos(2x)=cos(x+x)=cos^2(x)-sin^2(x) Now use that...