What is (d^2)/(dx^2)((x-4)/(3x-x^2)) ?

The answer to (d^2)/(dx^2)((x-4)/(3x-x^2)) is (2(x^3-12x^2+36x-36))/((3x-x^2)^3)

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(d^2)/(dx^2)((x-4)/(3x-x^2))

\frac{d ^{2}}{d x ^{2}} (\frac{x - 4}{3 x - x ^{2}})

\frac{2 ( x ^{3} - 12 x ^{2} + 36 x - 36 )}{( 3 x - x ^{2} ) ^{3}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (\frac{x - 4}{3 x - x ^{2}})

\frac{d}{d x} (\frac{x - 4}{3 x - x ^{2}}) = \frac{x ^{2} - 8 x + 12}{( 3 x - x ^{2} ) ^{2}}

= \frac{d}{d x} (\frac{x ^{2} - 8 x + 12}{( 3 x - x ^{2} ) ^{2}})

\frac{d}{d x} (\frac{x ^{2} - 8 x + 12}{( 3 x - x ^{2} ) ^{2}}) = \frac{2 ( x ^{3} - 12 x ^{2} + 36 x - 36 )}{( 3 x - x ^{2} ) ^{3}}

= \frac{2 ( x ^{3} - 12 x ^{2} + 36 x - 36 )}{( 3 x - x ^{2} ) ^{3}}

x \to 0 - lim (arcsin (e^{x}))

\frac{\partial}{\partial a} (ab)

\int_{- \infty}^{0} x e^{4 x} d x

\int x^{4} (1 - x^{5})^{7} d x

\frac{\partial}{\partial x} (w x + 2 y + 3 z)

What is (d^2)/(dx^2)((x-4)/(3x-x^2)) ?
The answer to (d^2)/(dx^2)((x-4)/(3x-x^2)) is (2(x^3-12x^2+36x-36))/((3x-x^2)^3)