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

Lösung

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

2 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 x + 0

Vereinfache

= 2 x

d er i v a t i v e \frac{x ^{3}}{e ^{\frac{1}{x}}}

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

\frac{\partial}{\partial x} (\frac{y - 5 x}{y ^{2} + 4 x ^{2}})

\frac{\partial}{\partial x} (x^{0.5} y)

y^{^{''}} - y^{^{'}} - 6 y = 0, y (0) = 1, y^{^{'}} (0) = 4