## Graphing Calculator

This intelligent **graphing calculator** detects the type of expressions (**function**, **equation** and **parametric** expressions) and graphs as you type in the **Cartesian** or **polar coordinate system** on an interval (*domain*).

- f(x) =
**3x**^{2}+ 2x + 1 **x^3-xy+2y^2 = 5x+2y+5**- p(t) =
**[sin(t), cos(t)]**

Using this **graphing calculator** you can easily find all the **x-intercepts** of (graph of) a function on an interval by solving the equation f(x) = 0.

Another useful feature of this **graphing calculator** allows you to calculate **derivatives** of **function**s and **parametric equation**s and **graph derivatives**.

- The quickest way to type
*dom= (-∞, ∞)*is by deleting the domain entirely (including*dom=*). You'll need to press*Enter*on the keyboard if**Graph as you type**is not enabled. - To graph a
**piecewise-defined function**or**parametric curve**use the multi-graph window. Enter each piece with the corresponding sub-interval as a single function or parametric curve. - To find the
**intersection**of two**functions**f(x) and g(x), enter the expression f(x) - g(x) and press**Solve**to calculate the**x-intercepts**of f(x) - g(x), which are the x-coordinates of the**points of intersections**of f(x) and g(x). - This graphing calculator can show you how the
**polar graph of a function**or the**graph of a parametric curve**is drawn by pressing the**Animate**button. - This graphing calculator also has the ability to graph in
**non-perpendicular coordinate system**. You can**rotate**axes and graph expressions.

## Matrix Calculator

This elegant **matrix calculator** deploys one single interface which can be used to enter multiple **matrices** including **augmented matrices** representing **systems of linear equations**!

In addition to **adding**, **multiplying** matrices, you can use this **matrix calculator** to calculate **determinant**, **inverse** and **adjugate** of *square matrices* and find the **rank** of any matrix. Also transform matrices to **lower triangular**, **upper triangular** and **reduced row echelon form**s.

You can also solve **systems of linear equation**s. The **linear equation solver** can solve any m × n linear equations.

Matrices can have **real**, **imaginary** and, in general, **complex numbers** as their elements. This **complex matrix calculator** can perform **matrix algebra**, all the previously mentioned **matrix operation**s and **solving linear system**s with **complex matrices** too.

Furthermore, this **matrix calculator** evaluates **matrix expressions** containing up to eight **real** or **complex matrices** and shows work.

## Complex Calculator

You can use this **complex calculator** as a full **scientific calculator** to calculate **real**, **imaginary** and, in general, any **complex number** in any form. Type in **complex numbers** using **i** or **j** for the **imaginary unit**.

**complex number to polar form calculator**displays the results in standard form

**a+bi**and optionally converts the result of expressions to

**polar**and other

**modular**forms using

*Euler's formula*:

**polar**(phasor, angular): r∠(θ)**exponential**: re^{iθ}**cis**: r(cos(θ)+ i sin(θ))**modular**: r(a/r + b/r i)

^{2}+ b

^{2}), is the

**module**or

**length**or

**absolute value**of a + bi, and θ = tan

^{-1}(b/a), is the

**angle**or

**argument**of the complex number a + bi.

In addition, this **complex number calculator** optionally shows intermediate calculations step-by-step.

## Derivative Calculator

This easy-to-use **derivative calculator** lets you calculate the derivatives of *one-variable* functions or **partial derivatives** of *multi-variable* functions F with respect to any variable. Type in a function with any number of variables and a variable in the boxes provided and press **Calculate Derivative**.

Note that the label, e.g., **F**_{xy} means **partial derivative** of F with respect to x and then with respect to y.