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Beliebt Rechnen >

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

Lösung

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

Lösung

3 x^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (x^{3}) = 3 x^{2}

\frac{\partial}{\partial x} (y) = 0

= 3 x^{2} + 0

Vereinfache

= 3 x^{2}

Beliebte Beispiele

tangent f(x)=2x^2+1,(1,3)

t an g e n t f (x) = 2 x^{2} + 1, (1, 3)

(\partial)/(\partial x)(4cos(xy^2))

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

integral of (x^3-1/(2x)+1)

\int (x^{3} - \frac{1}{2 x} + 1) d x

integral of-sin(-x)

\int - sin (- x) d x

(\partial)/(\partial x)(sqrt(x^3+x))

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