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

The answer to (d^3)/(dx^3)((1+sqrt(x))^3) is (3(-x+3))/(8x^{5/2)}

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

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

\frac{3 ( - x + 3 )}{8 x ^{\frac{5}{2}}}

Solution steps

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

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

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

\frac{d}{d x} (\frac{3 ( 1 + x ) ^{2}}{2 x}) = \frac{3 ( x - 1 )}{4 x x}

= \frac{d}{d x} (\frac{3 ( x - 1 )}{4 x x})

\frac{d}{d x} (\frac{3 ( x - 1 )}{4 x x}) = \frac{3 ( - x + 3 )}{8 x ^{\frac{5}{2}}}

= \frac{3 ( - x + 3 )}{8 x ^{\frac{5}{2}}}

What is (d^3)/(dx^3)((1+sqrt(x))^3) ?
The answer to (d^3)/(dx^3)((1+sqrt(x))^3) is (3(-x+3))/(8x^{5/2)}