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

Lösung

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

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

Schritte zur Lösung

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

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

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

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

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

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

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

\frac{\partial}{\partial x} (2 x y^{3} + 2)

y^{^{'}} - (\frac{3}{t}) \cdot y = 2 t^{3} \cdot e^{(2 t)}, y (1) = 0

n = 1 \sum \infty \frac{1}{2 ^{n} - 5}

d er i v a t i v e f (x) = (x + 2) \cdot - x

\frac{d y}{d x} = \frac{2 y}{x} - x^{2} y^{2}