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Beliebt Rechnen >

(\partial)/(\partial x)(xy^2z^3-8)

Lösung

\frac{\partial}{\partial x} (x y^{2} z^{3} - 8)

Lösung

y^{2} z^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (x y^{2} z^{3} - 8)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x y^{2} z^{3}) - \frac{\partial}{\partial x} (8)

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

\frac{\partial}{\partial x} (8) = 0

= y^{2} z^{3} - 0

Vereinfache

= y^{2} z^{3}

Beliebte Beispiele

integral of (6x^2+x+55)/((x+1)(x^2+9))

\int \frac{6 x ^{2} + x + 55}{( x + 1 ) ( x ^{2} + 9 )} d x

integral of y(1-x^2)

\int y (1 - x^{2}) d y

derivative of 1+3^x

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

derivative \sqrt[5]{x^3}-7/x

d er i v a t i v e 5 x^{3} - \frac{7}{x}

derivative of (x^2-4/(x^2+1))

\frac{d}{d x} (\frac{x ^{2} - 4}{x ^{2} + 1})