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We recognise that this is in the form of a function within a function, i.e u= 3x - 2 is within the u^4 function, therefore here we will use the chan rule to differentiate the equation. The chain rule states ...

This is obviously a very important but somewhat difficult to explain question of maths. Let's try to define these terms for normal functions between R (real numbers) and R. Now, if we consider the derivative...

Integration by parts is used to integrate a product of functions. The formula is as follows: Int[f(x)g'(x)] = f(x)g(x) - Int [f'(x)g(x)]

You must first identify the names of the two sides in relation to the angle you are trying to find out. The technique "sohcahtoa" is generally very helpful in working this out. This abbreviation st...

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...