Practice Test Using Derivatives (3.2) - Application of Calculus

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9 questions

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6 sample questions

Question 1.
Define an increasing function.
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Think about the relationship between x and f(x).
Question 2.
What does f'(x) > 0 indicate?
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Consider how the output changes for greater input.
3Question 3.
What indicates that a function is increasing?
- f'(x) < 0
- f'(x) = 0
- f'(x) > 0
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Think about how the derivative behaves!
4Question 4.
True or False: A critical point occurs where f'(x) = 0.
- True
- False
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Rethink how we define critical points.
Question 5.
Given the function f(x) = 2x^3 - 9x^2 + 12x, find the intervals of increase and decrease.
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Remember to check the signs of f' in each interval!
Question 6.
Determine the critical points and analyze f(x) = x^4 - 4x^3.
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Critical points are where the derivative is zero. Look carefully at the function’s behavior around these points.

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