# How do you write partial derivatives in Mathematica?

## How do you write partial derivatives in Mathematica?

Mathematica can be used to calculate partial derivatives. The built in function D[f[x,y], x] calculates the partial derivative of f(x, y) with respect to x. (Note that D[f[x], x] also calculates the ordinary derivative of the function f(x).)

What symbol is used for partial derivatives?

symbol ∂
The symbol ∂ indicates a partial derivative, and is used when differentiating a function of two or more variables, u = u(x,t). For example means differentiate u(x,t) with respect to t, treating x as a constant. Partial derivatives are as easy as ordinary derivatives!

Can Wolfram Alpha do derivatives?

Wolfram|Alpha is a great calculator for first, second and third derivatives; derivatives at a point; and partial derivatives.

### Can Wolfram Alpha solve partial differential equations?

The Wolfram Language’s differential equation solving functions can be applied to many different classes of differential equations, automatically selecting the appropriate algorithms without the need for preprocessing by the user. One such class is partial differential equations (PDEs).

How do you find the partial differential equation?

Solving PDEs analytically is generally based on finding a change of variable to transform the equation into something soluble or on finding an integral form of the solution. a ∂u ∂x + b ∂u ∂y = c. dy dx = b a , and ξ(x, y) independent (usually ξ = x) to transform the PDE into an ODE.

What is the partial symbol called?

Delta is the name of the Greek letter used in mathematics to represent “the change in”. The partial derivative symbol is an invented symbol which, according to this Wikipedia article, is variously pronounced “del”, “dee”, “partial dee”, “partial”, “curly dee”, or “dabba”.

#### How do you use PlotLegends in Mathematica?

To use PlotLegend, you first need to load the Plot Legends Package using Needs[“PlotLegends`”]. PlotLegend->{text1,text2,…} assigns text to each line in the same fashion as PlotStyle. PlotLegend also enables Plot and related functions to accept options for Legend, which will modify the legend produced.