Increasing and Decreasing Functions (Grade 11)
Free printable Grade 11 Mathematical Methods worksheet: using the sign of the derivative to find where a function is increasing or decreasing.
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Grade 11 · 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) = 4x^3 + + 5x - 1, is the function increasing or decreasing at x = 0?
- 2.For f(x) = -4x^2 - 4x + 1, is the function increasing or decreasing at x = -1?
- 3.For f(x) = 3x^2 - 4x + 6, is the function increasing or decreasing at x = 2?
- 4.For f(x) = 2x^3 + 2x^2 - 2x, is the function increasing or decreasing at x = 3?
- 5.For f(x) = 2x^2 + 4x, find all x for which f is decreasing.
- 6.For f(x) = - - 6x - 7, find all x for which f is decreasing.
- 7.For f(x) = - 6, find all x for which f is decreasing.
- 8.For f(x) = -3x^2 - 6x - 2, find all x for which f is decreasing.
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