partial derivative

Noun

Meaning

the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant

Source: WordNet

Synonyms

partial derivative acceleration differential curl chain rule difference quotient differential operator differential coefficient differential derivative partial differential coefficient total derivative derivative along a curve derivative in the direction derivative operator
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Hypernyms

derivative differential derived function first derivative differential coefficient

Related terms

partial differential equation

Examples

For example a societal consumption function may describe the amount spent on consumer goods as depending on both income and wealth; the marginal propensity to consume is then the partial derivative of the consumption function with respect to income. Source: Internet

By contrast, the total derivative of V with respect to r and h are respectively : and : The difference between the total and partial derivative is the elimination of indirect dependencies between variables in partial derivatives. Source: Internet

For the function the "own" second partial derivative with respect to x is simply the partial derivative of the partial derivative (both with respect to x): Chiang, Alpha C. Fundamental Methods of Mathematical Economics, McGraw-Hill, third edition, 1984. Source: Internet

Given a partial derivative, it allows for the partial recovery of the original function. Source: Internet

If f is a harmonic function on U, then all partial derivatives of f are also harmonic functions on U. The Laplace operator Δ and the partial derivative operator will commute on this class of functions. Source: Internet

In the case of the formal derivative, there are now separate partial derivative operators, which differentiate with respect to each of the indeterminates. Source: Internet

Close letter words and terms

partial correlation partial denture partial dependency partial differential partial differential coefficient partial differential equation