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Beliebt Rechnen >

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

Lösung

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

Lösung

2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 y + 0

Vereinfache

= 2 y

Beliebte Beispiele

inverselaplace 1/s-s/(s^2+1)

in v erse l a pl a ce \frac{1}{s} - \frac{s}{s ^{2} + 1}

integral of 1/(2sqrt(3-x)\sqrt{x+1)}

\int \frac{1}{2 3 - x x + 1} d x

derivative of ln(x^2e^x)

\frac{d}{d x} (ln (x^{2} e^{x}))

sum from n=0 to infinity of 1/((n^3-n))

n = 0 \sum \infty \frac{1}{( n ^{3} - n )}

y^'+8x-1y=x^8,y(1)=9

y^{^{'}} + 8 x - 1 y = x^{8}, y (1) = 9