S SumWise

Function Reference

derivative()

Symbolically differentiates an expression with respect to x.

Syntax

derivative(expression)

Alias:

differentiate(expression)

Arguments

Argument Description
expression The expression to differentiate. SumWise currently differentiates with respect to x.

Return Value

Returns a symbolic expression in the supported form SumWise can produce for the derivative.

Examples

derivative(x^2)

Returns 2*x.

derivative(x^3 + 2*x)

Returns 3*x^2 + 2.

derivative(sin(x))

Returns cos(x).

graph sin(x), derivative(sin(x)) from -6.28 to 6.28

Graphs a function and its symbolic derivative together.

Notes

  • Differentiation is currently with respect to x.
  • Other variables are treated as constants.
  • Supported rules include constants, sums, products, quotients, powers with constant real exponents, trig functions, exp, ln, and sqrt where supported.
  • Unsupported symbolic forms should report a clear error rather than producing misleading output.
integrate() derivative_at() tangent_line() factor() solve()

In SumWise 2.2

The Windows app includes a searchable Function Reference with richer details, examples, argument notes, return information, and related learning material where metadata exists. This web page is a concise reference for one commonly used symbolic-calculus function.