D

The symbolic partial derivative of an expression with respect to one or more variables.

✓ checked against that system · ! checked, with disagreements (hover a chip)Wolfram LanguageD✓↗

D(expr, vars*)Re-evaluates compute-engine's own $D$ once more so a head this package differentiates through Derivative lands on the closed-form derivative instead of stopping one step short at the inert Apply(Derivative(f, …), …) form.

SageMathdiff(expr, vars*)SymPydiff(expr, vars*)

Typed signatures

Type	Package	Applies
(expression, variables: symbol*) -> expression	analyticreplaces compute-engine	always
(expression, variables: symbol*) -> expression	compute-engine	always

Domain: Compute engine

Examples

Basic #

Product rule

live ↗

In$\frac{\mathrm{d}(x^2\sin(x))}{\mathrm{d}x}$Out$\cos(x)x^2+2x\sin(x)$

Scope #

A repeated variable differentiates again

live ↗

In$\frac{∂^{2}x^3}{∂x^{2}}$Out$6x$

A derivative order given as $\{x, n\}$; the order may also be symbolic, $\frac{d^k}{dx^k}x^a = a^{\underline{k}}\,x^{a-k}$

live ↗

In$\operatorname{D}(x^5, \bigl\lbrack x, 2\bigr\rbrack)$Out$20x^3$

About

Examples	3
Checked against	Wolfram Language 3 agreeSageMath 2 agree1 errorSymPy 3 agree
Crosswalk	Wolfram LanguageSageMath ×2SymPy ×2

Implementation

mappedwolframpackages/oracle/src/mappings.ts

identity rename (see names.wolframIdentity); D[expr, x, ...] repeats the derivative once per extra variable, same as ours.

mappedsympypackages/oracle/src/mappings.ts

mappedsympypackages/oracle/src/mappings.ts

mappedsagepackages/oracle/src/mappings.ts

mappedsagepackages/oracle/src/mappings.ts

See also: Derivative