Increasing and Decreasing Functions (Grade 12)
Free printable Grade 12 Mathematical Methods worksheet: using the sign of the derivative to find where a function is increasing or decreasing.
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Grade 12 · Math worksheet
Name
Date
Math
Differentiation: Increasing and Decreasing Functions
Use the sign of the derivative f'(x) to decide where each function is increasing (f' > 0) or decreasing (f' < 0).
- 1.For f(x) = 2x^2 - 3x - 1, is the function increasing or decreasing at x = 0?
- 2.For f(x) = 4x^3 - 3x^2 + 5x - 3, is the function increasing or decreasing at x = 0?
- 3.For f(x) = -4x^3 - 4x^2 - 5x + 6, is the function increasing or decreasing at x = 1?
- 4.For f(x) = -3x^2 + 3x + 1, is the function increasing or decreasing at x = -1?
- 5.For f(x) = -3x^2 + 6x - 4, find all x for which f is decreasing.
- 6.For f(x) = - + 6, find all x for which f is increasing.
- 7.For f(x) = + 4x + 2, find all x for which f is decreasing.
- 8.For f(x) = -3x^2 - 18x - 24, find all x for which f is increasing.
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