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

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

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

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

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

Solution steps

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

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

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

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

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

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

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

n = 0 \sum \infty \frac{n !}{5 ^{n}}

(4, - 7), (2, - 1)

\frac{d}{d x} (8 y sin (x))

cos (x), π

\int 8 x^{3} (2 x^{4} + 4) d x

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