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Beliebt Rechnen >

(\partial)/(\partial x)(sin(9x+yz))

Lösung

\frac{\partial}{\partial x} (sin (9 x + yz))

Lösung

cos (9 x + yz) \cdot 9

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (9 x + yz))

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

cos (9 x + yz) \frac{\partial}{\partial x} (9 x + yz)

= cos (9 x + yz) \frac{\partial}{\partial x} (9 x + yz)

\frac{\partial}{\partial x} (9 x + yz) = 9

= cos (9 x + yz) \cdot 9

Beliebte Beispiele

derivative of (x^3-2x+4/(x^3))

\frac{d}{d x} (\frac{x ^{3} - 2 x + 4}{x ^{3}})

integral of x(5x-3)^2

\int x (5 x - 3)^{2} d x

integral of e^{3x}+1/x

\int e^{3 x} + \frac{1}{x} d x

derivative of x(dy/(dx))

\frac{d}{d x} (x \frac{d y}{d x})

y^'+3y=2e^{-3t}

y^{^{'}} + 3 y = 2 e^{- 3 t}