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Beliebt Rechnen >

(\partial)/(\partial x)(sin(x)yz)

Lösung

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

Lösung

yz cos (x)

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Entferne die Konstante:

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

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

Wende die allgemeine Ableitungsregel an:

\frac{\partial}{\partial x} (sin (x)) = cos (x)

= yz cos (x)

Beliebte Beispiele

derivative 5sin(x-0.64)

d er i v a t i v e 5 sin (x - 0.64)

integral of 7sqrt(16-2x)-14

\int 7 16 - 2 x - 14 d x

limit as x approaches-7-of (x+6)/(x+7)

x \to - 7 - lim (\frac{x + 6}{x + 7})

sum from n=1 to infinity of (x/2)^n

n = 1 \sum \infty (\frac{x}{2})^{n}

integral of (x+3)(x-7)

\int (x + 3) (x - 7) d x