Solve \(y=\frac{1}{2}x^3\)

Function

Find the x -intercept/zero

Find the y-intercept

x = 0

Show Solution

x = 3 2 y

Show Solution

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

Show Solution

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

Show Solution

Find the derivative with respect to x

Find the derivative with respect to y

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

Show Solution

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

Show Solution