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Beliebt Rechnen >

(\partial)/(\partial y)(z^3-x^2y)

Lösung

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

Lösung

- x^{2}

Schritte zur Lösung

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

Behandle

z, x

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (z^{3}) = 0

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

= 0 - x^{2}

Vereinfache

= - x^{2}

Beliebte Beispiele

(x cos (x))^{^{'}}

derivative f(x)=x^3(3-x^2)

d er i v a t i v e f (x) = x^{3} (3 - x^{2})

derivative f(x)= x/(x^2-7)

d er i v a t i v e f (x) = \frac{x}{x ^{2} - 7}

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

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

limit as n approaches 2 of 1/(n^2)

n \to 2 lim (\frac{1}{n ^{2}})