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Lagrange's notation for the derivative: If f is a function of a single variable, ′, read as "f prime", is the derivative of f with respect to this variable. The second derivative is the derivative of ′, and is denoted ″. ˙
C2 or a derivative (C-2, C 2, etc.) may refer to: Mathematics and physics. C 2, one of the common notations for the cyclic group of order 2; C 2 differentiability class;
In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.
for the first derivative, for the second derivative, for the third derivative, and for the nth derivative. When f is a function of several variables, it is common to use "∂", a stylized cursive lower-case d, rather than "D". As above, the subscripts denote the derivatives that are being taken.
velocity is the derivative (with respect to time) of an object's displacement (distance from the original position) acceleration is the derivative (with respect to time) of an object's velocity, that is, the second derivative (with respect to time) of an object's position. For example, if an object's position on a line is given by
Command and control (abbr. C2) is a "set of organizational and technical attributes and processes ...[that] employs human, physical, and information resources to solve problems and accomplish missions" to achieve the goals of an organization or enterprise, according to a 2015 definition by military scientists Marius Vassiliou, David S. Alberts, and Jonathan R. Agre.
For this reason, the derivative is sometimes called the slope of the function f. [49]: 61–63 Here is a particular example, the derivative of the squaring function at the input 3. Let f(x) = x 2 be the squaring function. The derivative f′(x) of a curve at a point is the slope of the line tangent to that curve at that point. This slope is ...
The precise meaning of the variables and depends on the context of the application and the required level of mathematical rigor. The domain of these variables may take on a particular geometrical significance if the differential is regarded as a particular differential form , or analytical significance if the differential is regarded as a ...