Introduction to Common Rules of Differentiation

Rather than using the limit definition of the derivative every single time, we've found that there are substitutes for when we know functions are differentiable, and stuff like that.

We'll start from the simplest of them and go up in difficulty as we combine them and explain differentiation algebra.

You need to know, for now, that the derivative of the sum or difference of two functions is the same as the sum or difference of the derivatives of those functions,
, and that the derivative of a constant multiple of a function of x is the same as the constant multiple of the derivative of that function of x:
Let's start with The Derivative of the Constant