Search over 10,000 free study notes

The first step is to find dy/dx.

To do this you must first expand the brackets.

x² + y² + 2xy = xy²

Then differentiate each te...

Solve the equation x²=2x (solve x²-2x=0 by factorisation). Sketch the graphs y=x² and y=2x, using standard graph shapes. Look at the sketch to see for which values of x...

To factorise 3a³b + 12a²b² + 9a⁵b³, we need to deal with like elements together.Start with the integers. The highest common factor of 3, 12, and 9 is...

To do this, we first need to calculate the prime factorisations of 432 and 522, that is to say we need to break the numbers down into their prime factors.Let's start with 432. 432 = 2 x 216432 = 2 x ( 2 x...

We can calculate the area of a circle using the following formula:A = pi x r²The area we are given is 16pi. Therefore, we can divide both sides by pi. So,16pi = pi x r²becomes16 = r<...