# Differentiation (G Dataflow)

Calculates both function values and derivative values of the given function of one variable.  ## number of points

Number of values of the independent variable used in the function calculation.

Default: 10 ## 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 value of the interval where this node starts calculating values.

Default: 0 ## end

End value of the interval where this node stops calculating values.

Default: 1 ## 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.

error in does not contain an error error in contains an error  If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

Default: No error ## x values

Variable values used in the function calculation. The values are equally spaced from start to end. ## y values

Function values at the corresponding points in x values. ## derivative of y

Derivative values of the function at the points in x values. ## 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.

error in does not contain an error error in contains an error  If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

## Obtaining Highly Accurate Values of Differentiation

This node has no optimal step. To obtain highly accurate values of differentiation, start with the symbolic differentiation by hand, and then use the Evaluate y = f(x) (Optimal Step) node, where f is the derivative of the function.

The following graph shows the function values and the derivative of function f(x) = sin(sinc(x)) in the interval (-20, 20). Where This Node Can Run:

Desktop OS: Windows

FPGA: This product does not support FPGA devices