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Beliebt Rechnen >

(\partial)/(\partial y)(xsin(yz))

Lösung

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

Lösung

x cos (yz) z

Schritte zur Lösung

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

Behandle

x, z

als Konstanten

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= x \frac{\partial}{\partial y} (sin (yz))

Wende die Kettenregel an:

cos (yz) \frac{\partial}{\partial y} (yz)

= cos (yz) \frac{\partial}{\partial y} (yz)

\frac{\partial}{\partial y} (yz) = z

= x cos (yz) z

Beliebte Beispiele

tangent x^2-sqrt(x)

t an g e n t x^{2} - x

limit as x approaches 0 of (|x|)/(2x)

x \to 0 lim (\frac{∣ x ∣}{2 x})

(\partial)/(\partial x)(2y+xy+ye^y-e^y)

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

integral of 5/(x^2-1)

\int \frac{5}{x ^{2} - 1} d x

derivative of 2^x+x

\frac{d}{d x} (2^{x} + x)