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Algebra · Functions

Graph and analyse sqrt(25 - x^2)

y = \sqrt{25 - x^{2}}

Step by step

  1. \sqrt{25 - x^{2}}

    An expression in x. Here is what it does.

  2. \sqrt{- \left(x - 5\right) \left(x + 5\right)}

    Factored form.

  3. x = -5, x = 5

    Real zeros (where the graph crosses the axis).

  4. \frac{d}{dx} = - \frac{x}{\sqrt{25 - x^{2}}}

    Derivative (slope).

Reveal the answer
\sqrt{25 - x^{2}}