(d^2)/(dx^2)f(x)=\sqrt[4]{x^5}-3/(x^2)

Lösung

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

f (x) = \frac{16}{117} x^{\frac{13}{4}} + 3 ln (x) + c_{1} x + c_{2}

Schritte zur Lösung

\frac{d ^{2} f}{d x ^{2}} = 4 x^{5} - \frac{3}{x ^{2}}

Löse

f^{''} (x) = 4 x^{5} - \frac{3}{x ^{2}} : f^{'} (x) = \frac{4}{9} x^{\frac{9}{4}} + \frac{3}{x} + c_{1}

Löse

f^{'} (x) = \frac{4}{9} x^{\frac{9}{4}} + \frac{3}{x} + c_{1} : f (x) = \frac{16}{117} x^{\frac{13}{4}} + 3 ln (x) + c_{1} x + c_{2}

f (x) = \frac{16}{117} x^{\frac{13}{4}} + 3 ln (x) + c_{1} x + c_{2}

\frac{\partial}{\partial y} (e^{- x} sin (x + y))

\frac{d}{d x} (\frac{x ^{2}}{cos ( x )})

\int \frac{1}{2} e^{2 x} cos (x) d x

\frac{\partial ^{2}}{\partial x \partial y} (sin^{2} (m x + n y))

d er i v a t i v e q (t) = sin^{2} (\frac{t ^{4}}{t ^{5} - 6 t})