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

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