Function derivative #

Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.

This uses rules of differentiation which can be found here:

Differentiation rules (Wikipedia)

Syntax #

math.derivative(expr, variable)
math.derivative(expr, variable, options)

Parameters #

Parameter	Type	Description
`expr`	Node \| string	The expression to differentiate
`variable`	SymbolNode \| string	The variable over which to differentiate
`options`	{simplify: boolean}	There is one option available, `simplify`, which is true by default. When false, output will not be simplified.

Returns #

Type	Description
ConstantNode \| SymbolNode \| ParenthesisNode \| FunctionNode \| OperatorNode	The derivative of `expr`

Throws #

Type | Description —- | ———–

Examples #

math.derivative('x^2', 'x')                     // Node '2 * x'
math.derivative('x^2', 'x', {simplify: false})  // Node '2 * 1 * x ^ (2 - 1)'
math.derivative('sin(2x)', 'x'))                // Node '2 * cos(2 * x)'
math.derivative('2*x', 'x').evaluate()          // number 2
math.derivative('x^2', 'x').evaluate({x: 4})    // number 8
const f = math.parse('x^2')
const x = math.parse('x')
math.derivative(f, x)                           // Node {2 * x}