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}}}...
21 KB (4,699 words) - 16:46, 28 May 2024
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...
38 KB (5,804 words) - 09:15, 22 August 2024
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...
21 KB (3,573 words) - 10:03, 29 February 2024
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...
17 KB (2,956 words) - 20:44, 5 August 2024
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...
8 KB (825 words) - 14:42, 12 June 2024
Symmetric derivative (redirect from Symmetric difference quotient)
the symmetric difference quotient does provide a better numerical approximation of the derivative than the usual difference quotient. The symmetric derivative...
11 KB (1,534 words) - 09:34, 19 April 2024
Chain rule (section Quotient rule)
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...
38 KB (7,081 words) - 15:31, 6 May 2024
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}}...
26 KB (4,117 words) - 07:11, 15 August 2024
Discrete calculus (category Finite differences)
called the difference quotient function or just the difference quotient of the original function. In formal terms, the difference quotient is a linear operator...
38 KB (6,491 words) - 19:28, 5 July 2024
Numerical differentiation (section Finite differences)
{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...
17 KB (2,280 words) - 17:55, 26 June 2024