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

Lösung

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

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

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

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

Vereinfache

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

\int \frac{x ^{4} + 3 x}{x ^{2}} d x

d er i v a t i v e \frac{e ^{x^{2}}}{e ^{x}}

d er i v a t i v e f (x) = e^{x} sin^{2} (x)

\int_{0}^{t} t e^{- t} d t

\frac{\partial}{\partial x} (e^{x - 2})