What is (d^3)/(dx^3)(sqrt(4x+8)) ?

The answer to (d^3)/(dx^3)(sqrt(4x+8)) is 3/(4(x+2)^{5/2)}

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(d^3)/(dx^3)(sqrt(4x+8))

\frac{d ^{3}}{d x ^{3}} (4 x + 8)

\frac{3}{4 ( x + 2 ) ^{\frac{5}{2}}}

Solution steps

\frac{d ^{3}}{d x ^{3}} (4 x + 8)

\frac{d}{d x} (4 x + 8) = \frac{1}{x + 2}

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

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

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

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

= \frac{3}{4 ( x + 2 ) ^{\frac{5}{2}}}

y = \frac{2 x ^{5} + 6}{x ^{3}}

\int_{0}^{5} 5 x d x

y = x, (64, 8)

\frac{12 s}{12 s - 30 s ^{2}}

\frac{d y}{d x} = \frac{( e ^{y} )}{x y}

What is (d^3)/(dx^3)(sqrt(4x+8)) ?
The answer to (d^3)/(dx^3)(sqrt(4x+8)) is 3/(4(x+2)^{5/2)}