Tangent Line & Normal Line Questions Made Easy | IB Math AA HL

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In this video, we break down IB Math AA 5.4: Tangent and Normal Lines step by step using derivatives, point-slope form, and calculator technology. You’ll learn how to find the equation of a tangent line, how to find the equation of a normal line, and how to use the TI-84 calculator for Paper 2 style questions.

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This lesson is perfect for IB Math AA SL and HL students who want to understand derivatives, slopes, tangent lines, normal lines, calculator methods, and intersection points in a clear and exam-focused way. 🚀

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In This Video:

✅ How derivatives are used to find slopes
✅ How to find the tangent line to a function
✅ How to find the normal line using the negative reciprocal
✅ How to use point-slope form correctly
✅ How to evaluate a function at a given x-value
✅ How to use technology for IB Math Paper 2 questions
✅ How to use the TI-84 calculator derivative function
✅ How to find the second intersection between a tangent line and a curve

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Important Timestamps:

00:00:00 - Introduction to IB Math AA 5.4
00:00:36 - Question 1: Finding the derivative
00:01:16 - Finding the tangent line at x equals minus two
00:01:33 - Finding the point on the curve
00:02:33 - Finding the slope using the derivative
00:03:53 - Using point-slope form
00:04:43 - Finding the normal line
00:05:53 - Negative reciprocal explained
00:06:45 - Technology-based tangent line question
00:07:59 - Finding y-value using calculator
00:08:34 - Finding dy by dx at x equals nine
00:09:11 - TI-84 calculator derivative method
00:11:03 - Writing the tangent line equation
00:12:02 - Finding where the tangent line intersects again
00:13:13 - Using second calc intersect
00:13:56 - Final answer to three significant figures
00:14:50 - Lesson recap and conclusion

What You’ll Learn in This Video

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By the end of this lesson, you’ll understand how to solve tangent and normal line questions in IB Math AA Calculus using both analytical methods and calculator-based methods.

You’ll learn that the derivative gives the slope of the tangent line at a point, and the normal line uses the negative reciprocal of that tangent slope. You’ll also see how to use the TI-84 calculator to find derivative values, graph functions, and calculate intersections for IB Math AA Paper 2 questions.

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This video is especially useful if you are revising:

IB Math AA Calculus
IB Math AA SL derivatives
IB Math AA HL derivatives
Tangent line equations
Normal line equations
Point-slope form
Calculator questions
TI-84 derivative method
IB Math Paper 2 technology questions

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