# Partial derivative

Divergence Theorem: The value of the integral over the boundary ∂S of a simple, solid, outwardly oriented region S, whose components have continuous partial derivatives, is related to the volume that surface encloses. This theorem can be used to find the electric field strength at a certain point from a charged particle. The surface S must enclose the charge.

Stoke's Theorem: The value of the line integral along a simple, closed, piecewise-smooth, positively oriented curve C, is related to the area of the surface C encloses. F must have continuous partial derivatives on a region in ℝ³. Stoke's theorem can be used to find the magnetic field strength a given distance from a straight wire (Ampere's law). C would represent the circumference of an imaginary circle at a constant distance around the wire, and the right side of the equation would be…

Differential equations are those types of equations that have some derivatives of certain functions. The derivatives can either be ordinary derivatives or partial derivatives. If there are only ordinary derivatives in the equation then, the equation is defined as the ordinary type of differential equation and if the equation has all its terms as partial derivative then, such type of equation is called as partial differential equation.

Calculus...the really sad part is I understand it and laughed... Lol

Ecuaciones diferenciales microeconómicas en derivadas parciales = Microeconomics differential equations in partial derivatives / Josep Maria Franquet Bernis. Tortosa : Universidad Nacional de Educación a Distancia. Centro Asociado de Tortosa, 2016. http://cataleg.ub.edu/record=b2213994~S1*cat #bibeco

In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry. #Glogster #PartialDerivatives

Partial derivative - Wikipedia

Calculus III - Partial Derivatives

Green's Theorem: The value of the integral along a simple, closed, positively oriented, and piecewise-smooth curve C is related to the area it encloses by this equation. For this to be true, P and Q must also have continuous partial derivatives. Green's Theorem is a special case of Stoke's Theorem and can be used to calculate the areas of complicated shapes i.e. lakes, bacteria cultures,... Planimeters are devices that engineers frequently use to find areas and they are built using the…

First Order Partial Derivatives of f(x, y) = ln(x^4 + y^4)

First Order Partial Derivatives of f(x,y) = x^4 + 6x^2y^2 + 2y^3 - 3x^2

Partial derivatives are so called because they're the derivatives of multivariable functions. When a function is defined in terms of two or more variables, the function's derivative is actually a collection of partial derivative equations.

When a function is defined in terms of two or more variables, the function's derivative is actually a collection of partial derivative equations. The course is divided into 12 sections: Limits and continuity Partial derivatives Tangent planes and normal lines Linear approximation and linearization Differentials Chain rule Implicit differentiation Directional derivatives Gradient vectors Optimization Applied optimization Lagrange multipliers

In mathematics, the directional derivative of a multivariate differentiable function along a given vector v at a given point x intuitively represents the instantaneous rate of change of the function, moving through x with a velocity specified by v. It therefore generalizes the notion of a partial derivative, in which the rate of change is taken along one of the coordinate curves, all other coordinates being constant. #Glogster #DirectionalDerivatives

You can take derivatives and partial derivatives of trigonometric identities to obtain other identities.

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