Search over 10,000 free study notes

In algebra, long expressions can be simplified which makes them easier to solve. We can simplify alebraic expressions by collecting together "like terms". When looking at an expressions such as: 5x...

When you differentiate an equation, you're finding the gradient of its graph.<o:p></o:p> For example, if you differentiate the equation y = x 2 you get a solution dy/dx = 2x<o:p></o:p&gt...

If y is a function of u, which itself is a function of x, then dy/dx=(dy/du) x (du/dx) Differentiate the outer function and multiply by the derivative of the inner function. To illustrate this rule, look at ...

You would use the quadratic formula when trying to find the value of a variable such as x in a quadratic equation but it can not be successfully factorised with whole numbers. Treating the the equation in th...

let y=2 x {take natural logs of both sides} ln y = ln(2 x ) {use rules of logs to change right hand side} lny = xln2 {differentiate implicitly} 1/y . dy/dx = ln2 {make dy/dx the subject} dy/ dx = y ln2 {writ...