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

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

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

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

\frac{81}{( 6 x + 3 ) ^{\frac{5}{2}}}

Solution steps

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

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

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

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

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

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

= \frac{81}{( 6 x + 3 ) ^{\frac{5}{2}}}

\int_{0}^{s i n (x)} 8 t d t

\int - x - 3 d x

h (x) = (x^{2} - 3)^{3}

\int_{- 8}^{2} \frac{1}{∣ 2 x ∣} d x

\frac{d}{d y} (sin (2 y))

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