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Beliebt Rechnen >

(\partial)/(\partial x)(x^6y^5+2x^9y)

Lösung

\frac{\partial}{\partial x} (x^{6} y^{5} + 2 x^{9} y)

Lösung

6 y^{5} x^{5} + 18 y x^{8}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{6} y^{5} + 2 x^{9} y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{6} y^{5}) + \frac{\partial}{\partial x} (2 x^{9} y)

\frac{\partial}{\partial x} (x^{6} y^{5}) = 6 y^{5} x^{5}

\frac{\partial}{\partial x} (2 x^{9} y) = 18 y x^{8}

= 6 y^{5} x^{5} + 18 y x^{8}

Beliebte Beispiele

(dy)/(dx)=10sqrt(y)

\frac{d y}{d x} = 10 y

y^'+1/2*y= 3/2*t

y^{^{'}} + \frac{1}{2} \cdot y = \frac{3}{2} \cdot t

derivative B(x-2)^2x^2

d er i v a t i v e B (x - 2)^{2} x^{2}

integral of (2x)/(x+5)

\int \frac{2 x}{x + 5} d x

integral from 0 to 1 of 7x

\int_{0}^{1} 7 x d x