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Beliebt Rechnen >

d/(dy)(x-5ln|x|+yx)

Lösung

\frac{d}{d y} (x - 5 ln ∣ x ∣ + y x)

Lösung

x

Schritte zur Lösung

\frac{d}{d y} (x - 5 ln ∣ x ∣ + y x)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d x}{d y} - \frac{d}{d y} (5 ln ∣ x ∣) + \frac{d}{d y} (y x)

\frac{d x}{d y} = 0

\frac{d}{d y} (5 ln ∣ x ∣) = 0

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

= 0 - 0 + x

Vereinfache

= x

Graph

Beliebte Beispiele

limit as h approaches 0 of 3

h \to 0 lim (3)

derivative y=cot(x)

d er i v a t i v e y = cot (x)

integral of sin^2(x)cos^5(x)

\int sin^{2} (x) cos^{5} (x) d x

t a y l or \frac{1}{x}, - 3

(\partial)/(\partial x)(xy(6-x-y))

\frac{\partial}{\partial x} (x y (6 - x - y))