Search over 10,000 free study notes

To find the turning points of a curve one must find the values of x which satisfy dy/dx = 0. To further determine what type of turning point this is you need to compute the second derivative with respect ...

To put this equation into partial fractions we need to consider it in the form: (5x + 4)/(x +2)(x - 1) = A/(x + 2) + B/(x - 1) where A and B are numbers we are trying to find. To do this we need to multip...

Here the key is to remember to differentiate with both x and y with respect to x, where the differential of y is dy/dx. Consider the first term, 3x² : This differentiates to 6x. This is done by...

This can be achieved through integrating by parts. The term we wish to differentiate and ultimately eliminate here is the x^2 term. There by applying the formula twice the integration can be accomplished....

Firstly the general formula you can use on each of the x terms in the polynomial you are trying to differentiate is; f(x)=xⁿ then f '(x)=nx^n-1 where any constant, c, will differentia...