Solve y^5 = 2(x 1)

Solve the equation

Solve for x

Solve for y

x = \frac{y ^{5}}{2}

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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 = 4 2 cos (θ) csc (θ) \times ∣ csc (θ) ∣ r = - 4 2 cos (θ) csc (θ) \times ∣ csc (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{2}{5 y ^{4}}

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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{16}{25 y ^{9}}

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