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Algebra · Functions

Graph and analyse x^3 - 3x

y = x^{3} - 3 x

Step by step

  1. x^{3} - 3 x

    An expression in x. Here is what it does.

  2. x \left(x^{2} - 3\right)

    Simplified form.

  3. x = 0, x = - \sqrt{3}, x = \sqrt{3}

    Real zeros (where the graph crosses the axis).

  4. \frac{d}{dx} = 3 x^{2} - 3

    Derivative (slope).

Reveal the answer
x \left(x^{2} - 3\right)