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Beliebt Rechnen >

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

Lösung

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

Lösung

2 (x - y)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= 2 (x - y) \cdot 1

Vereinfache

= 2 (x - y)

Beliebte Beispiele

(\partial)/(\partial y)(-1/y sin(x/y))

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

(d^2)/(dx^2)(5/(6x^4))

\frac{d ^{2}}{d x ^{2}} (\frac{5}{6 x ^{4}})

derivative of (x-1sin(x))

\frac{d}{d x} ((x - 1) sin (x))

(\partial)/(\partial x)(ln(e^x+e^y))

\frac{\partial}{\partial x} (ln (e^{x} + e^{y}))

d/(dy)(1+ye^{xy})

\frac{d}{d y} (1 + y e^{x y})