ABSTRACT
Constant functions never change and since derivatives are supposed to give rates of change, one would expect this to be zero. This chapter discusses simple derivatives and the derivative of a constant. The easy way is to prove a general rule and then apply it for new functions. This general rule is called the Product Rule. The derivative of a sum of functions is provided as the sum of the derivatives. The derivative of a constant times a function is just constant times the derivative. The chapter discusses the quotient rule using rational functions. The composition of functions is actually a simple concept. The composition of continuous functions is provided as continuous. The chapter describes the chain rule for differentiation by providing limit proof and error proof. The sin and cos geometry are reviewed along with more complicated derivatives. The chapter discusses a simple neural circuit, simple neural processing function and neural processing derivatives.
