Search over 10,000 free study notes

1. Firstly, we must recognise that the function is in the form of a product, y=uv, where u and v are functions of x. Therefore, we can use the product rule, dy/dx = u (dv/dx) + v (du/dx). 2) We can wri...

5x^2 becomes 25x as the 2 comes down and 2x becomes 2 as x becomes 1.dy/dx = 25x + 2=10x+2

To find the inverse of a function you need to rearrange from y= a function in terms of x to x=a function in terms of y and then when you write your answer it's important to set it in the...

The sin rule is used when you need to find a length of a side or an angle. You use the sin rule when you're given an angle, an opposite side length and also an angle or side length opposite to the one you...

(1) Aim to rearrange the right hand side (rhs) to make it look like the left hand side.LHS = 2 cot (2x) + tan (x)(2) Notice that the rhs is only in terms of x, whereas the right has a function involving 2...