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Beliebt Rechnen >

(\partial)/(\partial x)(x^4+x^2y)

Lösung

\frac{\partial}{\partial x} (x^{4} + x^{2} y)

Lösung

4 x^{3} + 2 y x

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{4} + x^{2} y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{4}) + \frac{\partial}{\partial x} (x^{2} y)

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

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

= 4 x^{3} + 2 y x

Beliebte Beispiele

integral of (sqrt(441-x^2))/x

\int \frac{441 - x ^{2}}{x} d x

tangent y=-x^3+2x^2+1

t an g e n t y = - x^{3} + 2 x^{2} + 1

(\partial)/(\partial y)(ysin(x+y))

\frac{\partial}{\partial y} (y sin (x + y))

derivative of e^{6x}ln(x^2-4)

\frac{d}{d x} (e^{6 x} ln (x^{2} - 4))

integral from-1 to 2 of (x-6|x|)

\int_{- 1}^{2} (x - 6 ∣ x ∣) d x