(\partial)/(\partial x)(2x-3/(x^2)+y)

Lösung

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

\frac{6}{x ^{3}} + 2

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (2 x) = 2

\frac{\partial}{\partial x} (\frac{3}{x ^{2}}) = - \frac{6}{x ^{3}}

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

= 2 - (- \frac{6}{x ^{3}}) + 0

Vereinfache

= \frac{6}{x ^{3}} + 2

d er i v a t i v e y = 2 - x

y^{^{''}} - y^{^{'}} + 5 y = 3

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

y^{^{''}} + 4 y = x^{2} + 3 e^{x}

\frac{\partial}{\partial x} (cos (k x))