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Beliebt Rechnen >

(\partial)/(\partial x)(x^3+yz^2)

Lösung

\frac{\partial}{\partial x} (x^{3} + y z^{2})

Lösung

3 x^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{3} + y z^{2})

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (y z^{2}) = 0

= 3 x^{2} + 0

Vereinfache

= 3 x^{2}

Beliebte Beispiele

derivative (x^2-2)^2

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

(\partial)/(\partial z)(xy+yz)

\frac{\partial}{\partial z} (x y + yz)

integral of e^{3x}(e^{3x-8})^5

\int e^{3 x} (e^{3 x - 8})^{5} d x

y^{^{'}} = 3 x + y

(d^3)/(dx^3)(ln(x+1))

\frac{d ^{3}}{d x ^{3}} (ln (x + 1))