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Beliebt Rechnen >

(\partial)/(\partial x)(sin(3x+yz))

Lösung

\frac{\partial}{\partial x} (sin (3 x + yz))

Lösung

cos (3 x + yz) \cdot 3

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (3 x + yz))

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

cos (3 x + yz) \frac{\partial}{\partial x} (3 x + yz)

= cos (3 x + yz) \frac{\partial}{\partial x} (3 x + yz)

\frac{\partial}{\partial x} (3 x + yz) = 3

= cos (3 x + yz) \cdot 3

Beliebte Beispiele

integral from 3 to infinity of 8/(x^2-x)

\int_{3}^{\infty} \frac{8}{x ^{2} - x} d x

inverselaplace F(s)= 6/(s^2+4)

in v erse l a pl a ce F (s) = \frac{6}{s ^{2} + 4}

integral of-6sin(2x)+3cos(3x)

\int - 6 sin (2 x) + 3 cos (3 x) d x

(dy}{dx}=\frac{15x)/y

\frac{d y}{d x} = \frac{15 x}{y}

derivative \sqrt[4]{x}

d er i v a t i v e 4 x