Practice Finding Tangents And Normals To Curves (3)

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9 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the definition of a tangent?
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Think about how a line interacts with a curve.
Question 2.
How do you find the slope of a tangent line?
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Remember, the derivative gives the rate of change.
3Question 3.
What is a tangent line?
- A line that crosses the curve
- A line that touches the curve at one point
- A curve itself
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Think about how it interacts with the curve.
4Question 4.
The slope of the normal is the ___.
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What happens to the slope when lines are perpendicular?
Question 5.
Find the tangent and normal for y=sin(x) at x=pi/3.
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Check the sine function and its properties.
Question 6.
At what points do vertical tangents occur for y=ln(x)? Derive the equation and find normals at those points.
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Consider the domain of natural logs.

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