Definition:Difference Quotient/Left

Definition
Let $V$ be a vector space over the real numbers $\R$.

Let $f: \R \to V$ be a function.

A left difference quotient is an expression of the form:
 * $\dfrac {\map f {x + h} - \map f x} h$

where $h < 0$ is a strictly negative real number.

Also see

 * Definition:Finite Difference Operator
 * Definition:Difference Quotient
 * Definition:Right Difference Quotient