What is (d^3)/(dx^3)((1-3x)/(1+3x)) ?

The answer to (d^3)/(dx^3)((1-3x)/(1+3x)) is -(324)/((1+3x)^4)

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(d^3)/(dx^3)((1-3x)/(1+3x))

\frac{d ^{3}}{d x ^{3}} (\frac{1 - 3 x}{1 + 3 x})

- \frac{324}{( 1 + 3 x ) ^{4}}

Solution steps

\frac{d ^{3}}{d x ^{3}} (\frac{1 - 3 x}{1 + 3 x})

\frac{d}{d x} (\frac{1 - 3 x}{1 + 3 x}) = - \frac{6}{( 1 + 3 x ) ^{2}}

= \frac{d ^{2}}{d x ^{2}} (- \frac{6}{( 1 + 3 x ) ^{2}})

\frac{d}{d x} (- \frac{6}{( 1 + 3 x ) ^{2}}) = \frac{36}{( 1 + 3 x ) ^{3}}

= \frac{d}{d x} (\frac{36}{( 1 + 3 x ) ^{3}})

\frac{d}{d x} (\frac{36}{( 1 + 3 x ) ^{3}}) = - \frac{324}{( 1 + 3 x ) ^{4}}

= - \frac{324}{( 1 + 3 x ) ^{4}}

x \to 0 lim (\frac{sin ( 4 x )}{( 2 x )})

\int_{2}^{\infty} y e^{- 5 y} d y

(\frac{1}{14 x ^{2}}), x, (\frac{x}{4})

90 x

\frac{\partial}{\partial y} (- y sin (x))

What is (d^3)/(dx^3)((1-3x)/(1+3x)) ?
The answer to (d^3)/(dx^3)((1-3x)/(1+3x)) is -(324)/((1+3x)^4)