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Stationary Points (Grade 11)

Free printable Grade 11 Mathematical Methods worksheet: finding stationary points by solving f'(x) = 0, and classifying local maxima and minima.

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Grade 11 · 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. 1.
    Find the stationary point of f(x) = -x2x^{2} + 4x + 2 and state whether it is a local maximum or minimum.
  2. 2.
    Find the stationary point of f(x) = -2x^2 + 16x - 30 and state whether it is a local maximum or minimum.
  3. 3.
    Find the stationary point of f(x) = x2x^{2} - 8x + 18 and state whether it is a local maximum or minimum.
  4. 4.
    Find the stationary point of f(x) = x2x^{2} - 6x + 15 and state whether it is a local maximum or minimum.
  5. 5.
    Find the stationary point of f(x) = x2x^{2} + 4x - 2 and state whether it is a local maximum or minimum.
  6. 6.
    Find the stationary points of f(x) = x3x^{3} - 9x^2 + 24x + 3 by solving f'(x) = 0.
  7. 7.
    Find the stationary points of f(x) = x3x^{3} - 3x^2 by solving f'(x) = 0.
  8. 8.
    Find the stationary points of f(x) = x3x^{3} - 6x^2 + 9x by solving f'(x) = 0.
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