Solve x^2 x = (10 y)/3

Function

Find the x -intercept/zero

Find the y-intercept

x = 0

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Solve for x

Solve for y

x = \frac{3 90 y}{3}

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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 = \frac{30 sin ( θ ) sec ( θ ) \times ∣ sec ( θ ) ∣}{3} r = - \frac{30 sin ( θ ) sec ( θ ) \times ∣ sec ( θ ) ∣}{3}

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Find the derivative with respect to x

Find the derivative with respect to y

\frac{d y}{d x} = \frac{9 x ^{2}}{10}

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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}} = \frac{9 x}{5}

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