Stationary Points (Grade 12)
Free printable Grade 12 Mathematical Methods worksheet: finding stationary points by solving f'(x) = 0, and classifying local maxima and minima.
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Grade 12 · Math worksheet
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Math
Differentiation: Stationary Points
Find each stationary point by differentiating, setting f'(x) = 0 and solving. State whether each is a local maximum or minimum.
- 1.Find the stationary point of f(x) = 2x^2 - 16x + 34 and state whether it is a local maximum or minimum.
- 2.Find the stationary point of f(x) = + 6x + 14 and state whether it is a local maximum or minimum.
- 3.Find the stationary point of f(x) = 3x^2 + 12x + 9 and state whether it is a local maximum or minimum.
- 4.Find the stationary point of f(x) = + 6x + 8 and state whether it is a local maximum or minimum.
- 5.Find the stationary point of f(x) = 2x^2 and state whether it is a local maximum or minimum.
- 6.Find the stationary points of f(x) = - 6x^2 + 9x + 4 by solving f'(x) = 0.
- 7.Find the stationary points of f(x) = - 9x^2 + 24x + 3 by solving f'(x) = 0.
- 8.Find the stationary points of f(x) = - 3x by solving f'(x) = 0.
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