Search over 10,000 free study notes

1. To find the gradient of the curve we must differentiate the function. The function is in the form of a quotient, y=u/v, where u and v are functions of x. Therefore, we can use the quotient rule, dy/...

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...

(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...