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Beliebt Rechnen >

(\partial)/(\partial y)(ln(x-5y))

Lösung

\frac{\partial}{\partial y} (ln (x - 5 y))

Lösung

- \frac{5}{x - 5 y}

Schritte zur Lösung

\frac{\partial}{\partial y} (ln (x - 5 y))

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{x - 5 y} \frac{\partial}{\partial y} (x - 5 y)

= \frac{1}{x - 5 y} \frac{\partial}{\partial y} (x - 5 y)

\frac{\partial}{\partial y} (x - 5 y) = - 5

= \frac{1}{x - 5 y} (- 5)

Vereinfache

\frac{1}{x - 5 y} (- 5) : - \frac{5}{x - 5 y}

= - \frac{5}{x - 5 y}

Beliebte Beispiele

fläche x^2+4x+3,y=-2,-2<x<0

a re a x^{2} + 4 x + 3, y = - 2, - 2 < x < 0

fläche x=y+2,x=y^2

a re a x = y + 2, x = y^{2}

derivative 1/(7-6e^x)

d er i v a t i v e \frac{1}{7 - 6 e ^{x}}

(\partial)/(\partial x)(-400x(y-x^2)-2(1-x))

\frac{\partial}{\partial x} (- 400 x (y - x^{2}) - 2 (1 - x))

y^{^{'}} = sin (x - y)