What is (d^3)/(dx^3)(sqrt(2x+8)) ?

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

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(d^3)/(dx^3)(sqrt(2x+8))

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

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

Solution steps

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

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

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

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

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

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

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

\int_{- 5}^{0} (25 - x^{2}) d x

y^{^{'}} = e^{- x}

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

y = 2 sin (x), y = 2 cos (x)

3 x, x 1 8^{2} - x^{2}

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