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Beliebt Rechnen >

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

Lösung

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

Lösung

3 (x - y)^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (x - y) = 1

= 3 (x - y)^{2} \cdot 1

Vereinfache

= 3 (x - y)^{2}

Beliebte Beispiele

integral of (3x-2)/(sqrt(3+2x-x^2))

\int \frac{3 x - 2}{3 + 2 x - x ^{2}} d x

integral of 4x^2cos(6x)

\int 4 x^{2} cos (6 x) d x

derivative of (2x^3/(2x^4-5x^3+x^2))

\frac{d}{d x} (\frac{2 x ^{3}}{2 x ^{4} - 5 x ^{3} + x ^{2}})

derivative f(x)=4e^x

d er i v a t i v e f (x) = 4 e^{x}

derivative sqrt(x)(x-10)

d er i v a t i v e x (x - 10)