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Because by looking at the second derivative of a function you are essentially looking at the rate of change of the rate of change. This carries useful information about a function's behaviour and in some ...

Step 1: Start off by labeling the 2 equations. 3 x + y = 7 will be equation 1. 3 x - y = 5 will be equation 2.

Step 2: rearrange equation 1 to make y the subject. 3 x + y = 7 ---> y = 7 - 3 x (h...

A 2x2 square matrix is of the format (a b;c d). First you must check whether the matrix is invertible at all: if ad - bc is 0, the matrix is not invertible. The inverse matrix is (1/(ad-bc))*(d -...

When you solve normal equations like 4x-2=7, there is one equation and one unknown value. This case is no different: in order to solve these equations, you need to create one equation with one unknown. We...

The product rule is used to differentiate a function when it is in the form y= u(x)v(x). To use the rule you differentiate u(x) and multiply that by v(x), and then add that to the differential of v(x)...