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Beliebt Rechnen >

(\partial)/(\partial x)(9x^2y-3x^5y)

Lösung

\frac{\partial}{\partial x} (9 x^{2} y - 3 x^{5} y)

Lösung

18 y x - 15 y x^{4}

Schritte zur Lösung

\frac{\partial}{\partial x} (9 x^{2} y - 3 x^{5} y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (9 x^{2} y) - \frac{\partial}{\partial x} (3 x^{5} y)

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

\frac{\partial}{\partial x} (3 x^{5} y) = 15 y x^{4}

= 18 y x - 15 y x^{4}

Beliebte Beispiele

(\partial)/(\partial x)(sqrt(x*y*z))

\frac{\partial}{\partial x} (x \cdot y \cdot z)

limit as x approaches 4+of ((7x))/(x-4)

x \to 4 + lim (\frac{( 7 x )}{x - 4})

integral of 8/(4x^2+1)

\int \frac{8}{4 x ^{2} + 1} d x

fläche y=1-x^2,y=29-11x

a re a y = 1 - x^{2}, y = 29 - 11 x

tangent 2(3x-8)^4-5x+6

t an g e n t 2 (3 x - 8)^{4} - 5 x + 6