Practice The Concept Of A Tangent (1) - Tangents and Normals - IB 10 Mathematics

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8 questions

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2 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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2 questions · about 1 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 how a line can touch a curve without crossing it.
Question 2.
How do you denote the slope of a tangent line?
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Remember the derivative gives us slope.
3Question 3.
What is a tangent line?
- A line that crosses a curve
- A line that touches a curve at exactly one point
- A straight line that never touches any curve
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Think about the geometry of curves.
4Question 4.
True or False: The slope of a tangent line is always zero at points where the curve is horizontal.
- True
- False
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What happens to steepness at a horizontal line?
Question 5.
For the function y = e^x, find the equation of the tangent line at x = 0.
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Evaluate the function and its derivative at the specified point.
Question 6.
Consider the function y = ln(x). Find the slope of the tangent at x = 1 and write its equation.
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Remember how to differentiate logarithmic functions!

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