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  2. Total derivative - Wikipedia

    en.wikipedia.org/wiki/Total_derivative

    A total differential equation is a differential equation expressed in terms of total derivatives. Since the exterior derivative is coordinate-free, in a sense that can be given a technical meaning, such equations are intrinsic and geometric .

  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. Differential (mathematics) - Wikipedia

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

    The term differential is used nonrigorously in calculus to refer to an infinitesimal ("infinitely small") change in some varying quantity. For example, if x is a variable, then a change in the value of x is often denoted Δx (pronounced delta x). The differential dx represents an infinitely small change in the variable x. The idea of an ...

  6. 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

  7. Gradient - Wikipedia

    en.wikipedia.org/wiki/Gradient

    The best linear approximation to a differentiable function : at a point in is a linear map from to which is often denoted by or () and called the differential or total derivative of at . The function d f {\displaystyle df} , which maps x {\displaystyle x} to d f x {\displaystyle df_{x}} , is called the total differential or exterior derivative ...

  8. The new college student sex trend and why it's so dangerous

    www.aol.com/college-student-sex-trend-why...

    A new sex trend among college students is getting attention on TikTok − and it has doctors worried.. That trend is using honey packets, a controversial supplement marketed for sexual enhancement ...

  9. Numerical differentiation - Wikipedia

    en.wikipedia.org/wiki/Numerical_differentiation

    Numerical ordinary differential equations – Methods used to find numerical solutions of ordinary differential equations; Numerical smoothing and differentiation – Algorithm to smooth data points; List of numerical-analysis software