(\partial)/(\partial x)(4/(y^2)+x)

Lösung

\frac{\partial}{\partial x} (\frac{4}{y ^{2}} + x)

1

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{4}{y ^{2}} + x)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (\frac{4}{y ^{2}}) + \frac{\partial}{\partial x} (x)

\frac{\partial}{\partial x} (\frac{4}{y ^{2}}) = 0

\frac{\partial}{\partial x} (x) = 1

= 0 + 1

Vereinfache

= 1

\int e^{x} cos (a x) d x

x \to + 4 lim (\frac{2}{( x + 4 ) ^{3}})

x \to 0 - lim (\frac{x}{x})

\frac{d}{d x} (\frac{x ^{2} - 3 x + 2}{x ^{7} - 2})

\frac{d y}{d x} + \frac{2 x}{1 + x ^{2}} y = \frac{1}{1 + x ^{2}}