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Beliebt Rechnen >

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

Lösung

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

Lösung

6 (2 x - 3 y)^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= 3 (2 x - 3 y)^{2} \cdot 2

Vereinfache

= 6 (2 x - 3 y)^{2}

Beliebte Beispiele

limit as x approaches 4 of 1/(sqrt(x)-2)

x \to 4 lim (\frac{1}{x - 2})

derivative f(x)= 4/(sqrt(x))a= 1/16

d er i v a t i v e f (x) = \frac{4}{x} a = \frac{1}{16}

derivative cos(xy)

d er i v a t i v e cos (x y)

derivative of (2a^3/x)

\frac{d}{d x} (\frac{2 a ^{3}}{x})

inverselaplace 1/((s+2)^5)

in v erse l a pl a ce \frac{1}{( s + 2 ) ^{5}}