(\partial)/(\partial x)(y+2/(x^2))

Lösung

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

- \frac{4}{x ^{3}}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial x} (y) = 0

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

= 0 - \frac{4}{x ^{3}}

Vereinfache

= - \frac{4}{x ^{3}}

t an g e n t 7 x^{2} + x y + 7 y^{2} = 15, (1, 1)

x \to 0 + lim ((e^{x} + x)^{\frac{1}{x}})

\int \frac{1}{4 + 2 x} d x

t an g e n t y = (3 - 2 x + 4 x^{3}), (- 1, 1)

\frac{d}{d x} (x ln (y) + sin (3 x))