If you’re studying calculus or any advanced math course, you will certainly come across the concept of stationary points.

So, what is a stationary point? **A stationary point is a point where the derivative of a function is zero, indicating that the slope of the graph is neither positive nor negative. A stationary point is important because it can indicate a local maximum or minimum of the function (also known as maxima or minima)**

In finding the y-value of stationary points, a graphing calculator such as TI-84 Plus CE can come in handy. Here’s a step-by-step guide on how to find the y-value of stationary points with TI-84 Plus CE. You might also enjoy reading IB Maths Vs. A-Level Maths – Which One is Harder?

**Step 1: Graph your Function**

Before you can start finding the y-value of stationary points, you need to enter the function you’re working with into the calculator.

**To do this, press the “Y=” key on your calculator and enter the function as you would write it in your notebook. Make sure you use the “X” key to represent the independent variable**. Then press the “Graph” button, and you should be able to visually identify any stationary points on the curve.

**Step 2: Find the Derivative**

**The next step is to find the derivative of the function which can be done using the “Calc” button on the calculator**.

And then select “Derivative” and enter the function you’ve graphed. The calculator will automatically find the derivative of the function.

**Step 3: Find the X-Value of Stationary Points**

**Once you’ve found the derivative of the function, you can find the x-value(s) of the stationary point(s), which can be found by solving the derivative equal to zero**. **You can find the x-value(s) of the stationary point(s)** using the “Solve” function on the calculator.

Another way to find the stationary points is to look for spots where your Trace function “pauses” on the graph. **When the Trace function pauses, you’ll see a blinking cursor on the graph, indicating a stationary point**. If you missed the pause, you can use the left or right arrow keys to backtrack on the graph and find the blinking cursor.

**Step 4: Plug in X-Value to Original Function**

Now that you’ve found the x-value(s) of the stationary point(s), **you can plug them into the original function to find the respective y-value(s), which can be done by selecting the original function, entering the x-value(s) you found in step 3 and pressing the “Enter” button**. Your calculator will then display the corresponding y-value(s) on the screen.

Alternatively, you can read the Y-value of the stationary point. Once you’ve found the blinking cursor (or the stationary point), read the y-coordinate corresponding to the x-coordinate of the stationary point. **The y-coordinate will be shown on the bottom of the screen, right next to the x-coordinate. This y-coordinate represents the y-value of the stationary point.**

**Step 5: Confirm the Type of Stationary Point**

**After finding the y-value of the stationary point, you need to confirm whether it’s a maximum or minimum point**. One way to do this is by looking back at the graph and checking the shape of the curve around the stationary point.

**If the slope of the curve changes from negative to positive, then the stationary point is a minimum point.****If it changes from positive to negative, it’s a maximum point.**

**Step 5: Verify Accuracy**

**It is important to remember that the TI-84 Plus CE calculator is a tool. While it can be helpful in finding stationary points, it is always important to verify the accuracy of your results**.

You can verify your results by analyzing the graph of the original function as well as the graph of its derivative. **In addition, I encourage you to manually calculate the derivatives and verify your results using the calculator.**

**What to read next: **

- Chain Rule: Definition and examples.
- How to Find Vertical Asymptotes of Rational Functions!
- How to Find the Horizontal Asymptote: With examples!
- 9 Best YouTube Channels to Learn Calculus.

**In Conclusion**

Finding the y-value of stationary points is a crucial step in calculus and can help you determine the maximum or minimum points of a function. Using a graphing calculator such as TI-84 Plus CE can make this task easier and faster, allowing you to shift your focus to other important concepts.

I believe that by following the above steps, you can quickly find the y-value of stationary points. I also encourage you to always verify the accuracy of your results by learning to manually find the nature of stationary points.