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# TI-Nspire CX Tutorial: Tangent to a Curve

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In this TI-Nspire CX tutorial we go through the steps of constructing the line tangent to any curve. The equation of the tangent line displays and redisplays as the point is moved along the curve.

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• 1. Summary • In this tutorial, you’ll be graphing the tangent line to a curve. The steps in the tutorial include: – Creating a Graph Window – Graphing a Curve – Adding a Tangent Line
• 2. Create a New Document
• 3. Insert a Graph Window
• 4. Graph a Function
• 5. Graph a Function Input the equation for the function. In this case a parabola, but this will work with any function.
• 6. Graph a Function After pressing Enter, you’ll see the graph of the function.
• 7. Find the Tangent Access the Tangent line tool: Menu > Geometry > Points & Lines > Tangent.
• 8. Find the Tangent Move the cursor over the graph of the function.
• 9. Find the Tangent Click once on the graph to see the equation of the tangent line at that point.
• 10. Find the Tangent Click again to place the point on the graph. You’ll see the equation of the tangent line.
• 11. Find the Tangent Move the point to different locations along the graph. You’ll see the equation change.