Search over 10,000 free study notes

Firslty, the common rule when differentiating is nx m has the derivative of (n)(m)x m-1 . Therefore applying this rule to each individual component of the function: dy/dx=(5)(3)x 3-1 +(7)(1)x 1-1 +(3)(0) =(1...

This equation has one function of x divided by another function of x, we therefore have to use the quotient rule and is written in the form f(x)/g(x). The quotient rule is therefore f'(x)g(x)-g'(x)f(x)/g 2 (...

We use parts for this integration even though there is only one term! make ln(x)=1ln(x) How to do integration by parts If you have a function that you need to integrate that is two functions of x multiplied ...

Here, we must apply both chain and product rules. The chain rule can be used to find the derivative of a function in the form e f(x) , like this one. However it is useful to know that this will result in the...

This is one of the trickier methods of integration, and it requires some practise. The basic idea is to split a function which would be difficult to integrate into two parts. Differentiating one part and int...