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Beliebt Rechnen >

(\partial)/(\partial y)(ln(x-9y))

Lösung

\frac{\partial}{\partial y} (ln (x - 9 y))

Lösung

- \frac{9}{x - 9 y}

Schritte zur Lösung

\frac{\partial}{\partial y} (ln (x - 9 y))

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{x - 9 y} \frac{\partial}{\partial y} (x - 9 y)

= \frac{1}{x - 9 y} \frac{\partial}{\partial y} (x - 9 y)

\frac{\partial}{\partial y} (x - 9 y) = - 9

= \frac{1}{x - 9 y} (- 9)

Vereinfache

\frac{1}{x - 9 y} (- 9) : - \frac{9}{x - 9 y}

= - \frac{9}{x - 9 y}

Beliebte Beispiele

fläche y=|x-9|,y= x/2

a re a y = ∣ x - 9 ∣, y = \frac{x}{2}

laplacetransform x^2cos(x)

l a pl a ce t r an s f or m x^{2} cos (x)

derivative f(x)=(5x^6+4x^3)^4

d er i v a t i v e f (x) = (5 x^{6} + 4 x^{3})^{4}

(4-t^2)y^'+2ty=3t^2

(4 - t^{2}) y^{^{'}} + 2 t y = 3 t^{2}

fläche f(x)=2sin(x)+x,-pi,pi

a re a f (x) = 2 sin (x) + x, - π, π