Practice Applications Of Tangents And Normals (6)

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11 questions

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5 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is a tangent line?
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Think about where the line meets the curve.
Question 2.
What do we use to find the slope of a tangent?
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Remember, the derivative gives us the rate of change.
3Question 3.
What does the slope of the tangent represent?
- Rate of change of the function
- Length of the tangent
- Point where it touches the curve
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Consider what the derivative represents.
4Question 4.
True or False: The normal line is parallel to the tangent line.
- True
- False
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Think about their angles related to each other.
Question 5.
For the curve y = x^2 + 3x at the point (2, 10), find the equations of both the tangent and normal lines.
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Try calculating the point and derivative first!
Question 6.
Given the function y = e^x, find tangent and normal lines at x = 0.
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Identify the function's behavior at the specified point.

7 more questions in this section. Enroll free to practise them all.