Plotting derivatives, Inference using data, Grapher and Equations improvements.

April 02, 2024

Within the **Grapher** application, it is now possible to **toggle on additional derivatives** within the options of a function.

Activating the **plot of a derivative** adds a derivative element to the Expression tab, plots the derivative on the Graph tab, and adds a column of derivative values to the Table tab.

Within the options of derivatives, you can change the **color** and **hide** the plot of the derivative.

The **Value of the derivative** options allow you to view values of the first and second derivative in the bottom banner of the Graph tab without viewing the plot.

`f'`

, `f''`

and `f`^{(n)}

In **all applications** other than Python, pressing ** Alpha** then

`'`

(instead of a double quote `"`

).The **notation f' and f"** is now recognized to designate the

`f`

. The `f`^{(n)}

You can now view **derivative values of Polar and Parametric curves** in the Grapher application.

Within the options menu of a **polar** or **parametric curve**, you can now activate the **first and second derivative values**.

This allows you to view the values of the derivatives as you trace the curve in the Graph tab as well as in a column of the Table tab.

We've also added two new features within the **Find menu** for Polar and Parametric curves.

You can now find **dy/dx** for given values of theta or t.

You can also find the equation of the line **tangent** to polar and parametric curves.

**Polar functions** are now defined in the form **r1(θ)** and are saved and accessible in the **variables** menu.

**Parametric functions** are now defined in the form **f(t)=(fx(t), fy(t))**. Parametric functions are stored in the variable menu as three independent functions: **fx(t)** and **fy(t)** and **f(t)**.

The **templates** for graphing have been moved to a button to the right of a new expression. This enables you to start entering an expression right away while still having access to all your favorite templates.

You now have access to a **Polar grid** within the **Axis** menu of the Graph tab under **Grid Type**.

We've made solving advanced equations even easier! A **search interval** is now automatically created.

You can then define the **search interval** to look for solutions within a specific domain.

We've added the ability to use a **dataset** for significance tests and confidence intervals about the **mean** in the Inference application.

When performing a significance test or constructing a confidence interval for a mean, you can now import a dataset that is already saved in the **Statistics** application.

You can also input a new dataset directly within the significance test or confidence interval.

Once the dataset is selected or inputted, the **Calculated values** will include the **sample mean** and **sample standard deviation**.

For **slope** tests and intervals, it is now possible to choose between all data sets of the **Regressions** application.

Version 23 offers additional improvements to the calculator.

In the **Python** application, the distance() function has been added to the turtle method. The "@" operator is now available in the toolbox.