In single-variable calculus, the difference quotient is usually the name for the expression f ( x + h ) − f ( x ) h {\displaystyle {\frac {f(x+h)-f(x)}{h}}}...

difference is a mathematical expression of the form f (x + b) − f (x + a). If a finite difference is divided by b − a, one gets a difference quotient...

algebra, a quotient ring, also known as factor ring, difference ring or residue class ring, is a construction quite similar to the quotient group in group...

u'(x)=3u(x)+2.} The Euler method for solving this equation uses the finite difference quotient u ( x + h ) − u ( x ) h ≈ u ′ ( x ) {\displaystyle {\frac {u(x+h)-u(x)}{h}}\approx...

arithmetic, a quotient (from Latin: quotiens 'how many times', pronounced /ˈkwoʊʃənt/) is a quantity produced by the division of two numbers. The quotient has widespread...

the symmetric difference quotient does provide a better numerical approximation of the derivative than the usual difference quotient. The symmetric derivative...

of the composite function f ∘ g, where we take the limit of the difference quotient for f ∘ g as x approaches a: ( f ∘ g ) ′ ( a ) = lim x → a f ( g...

slope of the secant line passing through p and q is equal to the difference quotient f ( a + h ) − f ( a ) h . {\displaystyle {\frac {f(a+h)-f(a)}{h}}...

called the difference quotient function or just the difference quotient of the original function. In formal terms, the difference quotient is a linear operator...

{f(x+h)-f(x)}{h}}.} This expression is Newton's difference quotient (also known as a first-order divided difference). The slope of this secant line differs from...