Definition:Difference Quotient/Left

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

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

A left difference quotient is an expression of the form:
 * $\displaystyle \frac { f\left({x + h}\right) - f\left({x}\right) } {h}$

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

Also see

 * Finite Difference Operator
 * Difference Quotient
 * Right Difference Quotient