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To solve differential equations we use a method called separation of variables. This is where we take all the ‘y’ values to one side of the equation and all the ‘x’ values to the other side of the equ...

Let f(x) = x^3 - 6x^2 + 11x - 6.

Try x = 1：   f(1) = 1 - 6 + 11 - 6 = 0

So x - 1 is a factot of f(x).

Try x = 2：   f(2) = 8 - 24 + 22 -...

First, we need to recall 2 basic definitions of vector operations:

The dot product is defined on vectors u=[u₁, u₂,...u_n] and v...

The chain rule is used when you're trying to differentiate a complicated function, and it allows you to split up the function into easier ones. The trick is spotting where to split the function, and what ...