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Beliebt Rechnen >

(\partial)/(\partial y)(ln(x-8y))

Lösung

\frac{\partial}{\partial y} (ln (x - 8 y))

Lösung

- \frac{8}{x - 8 y}

Schritte zur Lösung

\frac{\partial}{\partial y} (ln (x - 8 y))

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{x - 8 y} \frac{\partial}{\partial y} (x - 8 y)

= \frac{1}{x - 8 y} \frac{\partial}{\partial y} (x - 8 y)

\frac{\partial}{\partial y} (x - 8 y) = - 8

= \frac{1}{x - 8 y} (- 8)

Vereinfache

\frac{1}{x - 8 y} (- 8) : - \frac{8}{x - 8 y}

= - \frac{8}{x - 8 y}

Beliebte Beispiele

limit as x approaches 6 of 5

x \to 6 lim (5)

fläche x^2-25,25-x^2

a re a x^{2} - 25, 25 - x^{2}

derivative 3/2 x^2

d er i v a t i v e \frac{3}{2} x^{2}

sum from n=3 to infinity of n/(n+2)

n = 3 \sum \infty \frac{n}{n + 2}

(1+t^2)y^'+4ty=(1+t^2)^{-2}

(1 + t^{2}) y^{^{'}} + 4 t y = (1 + t^{2})^{- 2}