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Beliebt Rechnen >

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

Lösung

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

Lösung

x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= x + 0

Vereinfache

= x

Beliebte Beispiele

derivative of x^4+2x^2-x

\frac{d}{d x} (x^{4} + 2 x^{2} - x)

(\partial)/(\partial x)(1x)

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

(1+y)(dy)/(dt)=6t,\quad y(2)=5

(1 + y) \frac{d y}{d t} = 6 t, y (2) = 5

integral of (x^2-2)/(x+3)

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

integral of ((x+1))/(sqrt(x^2+2x))

\int \frac{( x + 1 )}{x ^{2} + 2 x} d x