Solve (x^(2) x)/2 =y

Function

Find the x -intercept/zero

Find the y-intercept

x = 0

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Solve for x

Solve for y

x = 3 2 y

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Testing for symmetry about the origin

Testing for symmetry about the x-axis

Testing for symmetry about the y-axis

Symmetry with respect to the origin

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r = 0 r = 2 sin (θ) sec (θ) \times ∣ sec (θ) ∣ r = - 2 sin (θ) sec (θ) \times ∣ sec (θ) ∣

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Find the derivative with respect to x

Find the derivative with respect to y

\frac{d y}{d x} = \frac{3 x ^{2}}{2}

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Find the second derivative with respect to x

Find the second derivative with respect to y

\frac{d ^{2} y}{d x ^{2}} = 3 x

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