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Beliebt Rechnen >

(\partial)/(\partial y)((x+y)^8)

Lösung

\frac{\partial}{\partial y} ((x + y)^{8})

Lösung

8 (x + y)^{7}

Schritte zur Lösung

\frac{\partial}{\partial y} ((x + y)^{8})

Behandle

x

als Konstante

Wende die Kettenregel an:

8 (x + y)^{7} \frac{\partial}{\partial y} (x + y)

= 8 (x + y)^{7} \frac{\partial}{\partial y} (x + y)

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

= 8 (x + y)^{7} \cdot 1

Vereinfache

= 8 (x + y)^{7}

Beliebte Beispiele

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

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

integral from 0 to 1 of r^3

\int_{0}^{1} r^{3} d r

integral of sin(x)e^{2x}

\int sin (x) e^{2 x} d x

tangent f(x)=sqrt(x),(25,5)

t an g e n t f (x) = x, (25, 5)

derivative of (x+7/(sqrt(x)))

\frac{d}{d x} (\frac{x + 7}{x})