partial derivative Sentence Examples
- The partial derivative of the function f(x, y) with respect to x is given by ∂f/∂x.
- The partial derivative of the function g(u, v, w) with respect to u is denoted as ∂g/∂u.
- In fluid dynamics, the partial derivatives of the velocity field with respect to space coordinates are used to represent the velocity gradient tensor.
- In thermodynamics, the partial derivative of a thermodynamic potential with respect to one of its natural variables represents the corresponding extensive property.
- The mixed partial derivative of the function h(x, y, z) with respect to x and y is defined as ∂²h/∂x∂y.
- The partial derivative of the function f(x, y) with respect to y, while holding x constant, is written as (∂f/∂y)x.
- The partial derivative of the function g(r, θ, φ) with respect to the radial coordinate r is given by ∂g/∂r.
- In economics, the partial derivative of a utility function with respect to a particular good represents the marginal utility of that good.
- The partial derivative of the function h(x, y, z) with respect to z, while holding x and y constant, is denoted as ∂h/∂z(x, y).
- The partial derivatives of a vector-valued function with respect to different variables form the Jacobian matrix of the function.
partial derivative Meaning
partial derivative (n)
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
Synonyms & Antonyms of partial derivative
No Synonyms and anytonyms found
FAQs About the word partial derivative
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
No synonyms found.
No antonyms found.
The partial derivative of the function f(x, y) with respect to x is given by ∂f/∂x.
The partial derivative of the function g(u, v, w) with respect to u is denoted as ∂g/∂u.
In fluid dynamics, the partial derivatives of the velocity field with respect to space coordinates are used to represent the velocity gradient tensor.
In thermodynamics, the partial derivative of a thermodynamic potential with respect to one of its natural variables represents the corresponding extensive property.
