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Beliebt Rechnen >

(\partial)/(\partial x)(x^7y^6+4x^6y)

Lösung

\frac{\partial}{\partial x} (x^{7} y^{6} + 4 x^{6} y)

Lösung

7 y^{6} x^{6} + 24 y x^{5}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{7} y^{6} + 4 x^{6} y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{7} y^{6}) + \frac{\partial}{\partial x} (4 x^{6} y)

\frac{\partial}{\partial x} (x^{7} y^{6}) = 7 y^{6} x^{6}

\frac{\partial}{\partial x} (4 x^{6} y) = 24 y x^{5}

= 7 y^{6} x^{6} + 24 y x^{5}

Beliebte Beispiele

integral of 8x^{1/2}

\int 8 x^{\frac{1}{2}} d x

limit as x approaches 2 of e^{1/0}

x \to 2 lim (e^{\frac{1}{0}})

tangent y=3tan(x),\at x= pi/6

t an g e n t y = 3 tan (x), at x = \frac{π}{6}

integral of 8^3sqrt(x)

\int 8^{3} x d x

y^'-6/x y=(y^5)/(x^7)

y^{^{'}} - \frac{6}{x} y = \frac{y ^{5}}{x ^{7}}