Search over 10,000 free study notes

We have to use the chain rule here. If we set u to the inside of the bracket, u = x^2 + 3 and differentiating we get du/dx = 2x. Now the original expression becomes y = u^2. Differentiating this with resp...

When simplifying surd expressions we want to look for square numbers that are factors of the number inside the square root. If we list the square numbers (which are numbers that are the result of squaring...

First of all, you need to read the question really carefully and look at how many marks it is worth. The question is worth two marks and it is asking you to do two things: firstly, you need to ‘rationalis...

4x+5=6x-13. Take 4x from both sides 5= 6x-4x-13 5=2x-13. On the right hand side, you have -13 value. Add 13, to make 0. Adding thirteen on right also adds thirteen on left. 5 + 13 = 2x - 13 + 13 18=2x. 2 ...

tanx = sinx/cosx. Express this as: sinx*(cosx)^-1. Remembering the product rule: "y = f(x)g(x), dy/dx = f'(x)g(x) + f(x)g'(x)". sinx differentiates to cosx and cosx differentiates to -sinx. Also...