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  2. Total derivative - Wikipedia

    en.wikipedia.org/wiki/Total_derivative

    In mathematics, the total derivative of a function f at a point is the best linear approximation near this point of the function with respect to its arguments. Unlike partial derivatives, the total derivative approximates the function with respect to all of its arguments, not just a single one. In many situations, this is the same as ...

  3. Differential of a function - Wikipedia

    en.wikipedia.org/wiki/Differential_of_a_function

    A number of properties of the differential follow in a straightforward manner from the corresponding properties of the derivative, partial derivative, and total derivative. These include: [ 11 ] Linearity : For constants a and b and differentiable functions f and g , d ( a f + b g ) = a d f + b d g . {\displaystyle d(af+bg)=a\,df+b\,dg.}

  4. Exact differential - Wikipedia

    en.wikipedia.org/wiki/Exact_differential

    An exact differential is sometimes also called a total differential, or a full differential, or, in the study of differential geometry, it is termed an exact form. The integral of an exact differential over any integral path is path-independent, and this fact is used to identify state functions in thermodynamics.

  5. Exact differential equation - Wikipedia

    en.wikipedia.org/wiki/Exact_differential_equation

    Given a simply connected and open subset D of and two functions I and J which are continuous on D, an implicit first-order ordinary differential equation of the form (,) + (,) =,is called an exact differential equation if there exists a continuously differentiable function F, called the potential function, [1] [2] so that

  6. Differential (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Differential_(mathematics)

    In calculus, the differential represents a change in the linearization of a function.. The total differential is its generalization for functions of multiple variables.; In traditional approaches to calculus, differentials (e.g. dx, dy, dt, etc.) are interpreted as infinitesimals.

  7. Numerical differentiation - Wikipedia

    en.wikipedia.org/wiki/Numerical_differentiation

    Differential quadrature is the approximation of derivatives by using weighted sums of function values. [22] [23] Differential quadrature is of practical interest because its allows one to compute derivatives from noisy data.

  8. The 3 best stock market and Wall Street movies that every ...

    www.aol.com/finance/3-best-stock-market-wall...

    “The Wolf of Wall Street” is notable for a few reasons, not least of which is that it is based on a true story. This portrayal of real-life stockbroker Jordan Belfort is based on his 2007 ...

  9. Derivative - Wikipedia

    en.wikipedia.org/wiki/Derivative

    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.