What is (d^3)/(dx^3)(sqrt(6x+8)) ?

The answer to (d^3)/(dx^3)(sqrt(6x+8)) is (81)/((6x+8)^{5/2)}

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(d^3)/(dx^3)(sqrt(6x+8))

\frac{d ^{3}}{d x ^{3}} (6 x + 8)

\frac{81}{( 6 x + 8 ) ^{\frac{5}{2}}}

Solution steps

\frac{d ^{3}}{d x ^{3}} (6 x + 8)

\frac{d}{d x} (6 x + 8) = \frac{3}{6 x + 8}

= \frac{d ^{2}}{d x ^{2}} (\frac{3}{6 x + 8})

\frac{d}{d x} (\frac{3}{6 x + 8}) = - \frac{9}{( 6 x + 8 ) ^{\frac{3}{2}}}

= \frac{d}{d x} (- \frac{9}{( 6 x + 8 ) ^{\frac{3}{2}}})

\frac{d}{d x} (- \frac{9}{( 6 x + 8 ) ^{\frac{3}{2}}}) = \frac{81}{( 6 x + 8 ) ^{\frac{5}{2}}}

= \frac{81}{( 6 x + 8 ) ^{\frac{5}{2}}}

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What is (d^3)/(dx^3)(sqrt(6x+8)) ?
The answer to (d^3)/(dx^3)(sqrt(6x+8)) is (81)/((6x+8)^{5/2)}