Table Of Contents
Partial Derivatives of f(x1,x2) (G Dataflow)
Calculates the partial derivatives of a function that contains two independent variables.
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number of points
Numbers of values for both variables used in the function calculation.
formula
Function to calculate. The formula can contain any number of valid variables.
Entering Valid Variables
This node accepts variables that use the following format rule: variables must start with a letter or an underscore followed by any number of alphanumeric characters or underscores.
start
Start points of both variables. The array contains two elements.
end
End points of both variables. The array contains two elements.
variables
Variables with respect to the naming conventions of the Parsing nodes.
error in
Error conditions that occur before this node runs.
The node responds to this input according to standard error behavior.
Standard Error Behavior
Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.
Default: No error
derivative
Variable whose partial derivative you want to calculate.
| Name | Value | Description |
|---|---|---|
| first variable | 0 | Calculates the partial derivative of the first variable. |
| second variable | 1 | Calculates the partial derivative of the second variable. |
Default: first variable
x1 values
Values of the first variable used in the function calculation. The values are equally spaced from start to end.
x2 values
Values of the second variable used in the function calculation. The values are equally spaced from start to end.
partial derivative
Fixed partial derivatives at the defined grid points.
error out
Error information.
The node produces this output according to standard error behavior.
Standard Error Behavior
Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.
Algorithm for Calculating partial derivative
This node calculates partial derivative using the following equation:
To investigate the x1-derivative of function f(x1, x2) = sin(x12 - x2) - cos(sin(x2) - x1) in the interval (-2, 2) by (-2, 2), enter the following values on the panel:
start: [-2, 2]
end: [2, 2]
formula: sin(x1*x1 - x2) - cos(sin(x2) - x1)
derivative: first variable
Where This Node Can Run:
Desktop OS: Windows
FPGA: This product does not support FPGA devices