Practice Tangents And Normals (3.6.1) - Calculus

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9 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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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the equation of the tangent line to f(x) = 2x + 1 at the point (2, 5)?
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Use the derivative which is constant 2 for this linear function.
Question 2.
How do you find the slope of the tangent line to f(x) = x^3 at the point (1, 1)?
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Differentiate the function first.
3Question 3.
What is the slope of the tangent line to f(x) = x^2 at x = 2?
- 2
- 4
- 6
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Differentiate f(x) first!
4Question 4.
True or False: The normal line to a curve at a given point is always parallel to the tangent line.
- True
- False
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Think about the relationship of slopes!
Question 5.
Given f(x) = x^2 - 4x + 5, find the coordinates of the point on the curve and the equations of the tangent and normal lines at x = 2.
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Evaluate function and derivative first.
Question 6.
For the function f(x) = ln(x), derive the equation of the tangent line at x = 1 and explain the significance.
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Find f'(1) for the slope.

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