Search over 10,000 free study notes

There are 3 types of stationary points for functions: a maxima, a minima and a saddle point. They all occur when the derivative of a function, f(x), is equal to 0, e.g. f'(x)=0. Therefore in order to find th...

Chain Rule: dy/dx = dy/du x du/dxy=e 3-2x Substitute u for the power (3-2x) y = e u u = 3-2xdy/du = e u du/dx = -2dy/dx = -2e u = -2e 3-2x

A quadratic function will either have a minimum or a maximum value depending on the shape of the function. A quadratic function with a positive value in front of the x^2 term has a U shape and therefore has ...

Integrating the equations: x 2 + 4x + 3 dx. To integrate, the method is to look each parts of the equation, e.g. the x 2 firstly. We would add 1 to the power to get x 3 . Then we would divide this by our new...

So firstly, we need to know what type of answer we are aiming for. The question tells us to put our answer in the format a √2 where a is an integer. As we know from previous work, an integer is a whole numbe...