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

Lösung

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

\frac{3}{8 x ^{\frac{5}{2}}}

Schritte zur Lösung

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

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

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

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

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

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

= \frac{3}{8 x ^{\frac{5}{2}}}

ma c l a u r in e^{4 x}

\int \frac{cos ( ln ( 4 x ^{2} ) )}{x} d x

6 y^{^{'}} = y^{2}, y (0) = 5

(2 x - 1)^{^{'}}

\int \frac{x ^{2}}{( 4 - x ^{2} ) ^{\frac{3}{2}}} d x