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Beliebt Rechnen >

(\partial)/(\partial y)(ln(x-3y))

Lösung

\frac{\partial}{\partial y} (ln (x - 3 y))

Lösung

- \frac{3}{x - 3 y}

Schritte zur Lösung

\frac{\partial}{\partial y} (ln (x - 3 y))

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{x - 3 y} \frac{\partial}{\partial y} (x - 3 y)

= \frac{1}{x - 3 y} \frac{\partial}{\partial y} (x - 3 y)

\frac{\partial}{\partial y} (x - 3 y) = - 3

= \frac{1}{x - 3 y} (- 3)

Vereinfache

\frac{1}{x - 3 y} (- 3) : - \frac{3}{x - 3 y}

= - \frac{3}{x - 3 y}

Beliebte Beispiele

derivative-1/(9x^{10/9)}

d er i v a t i v e - \frac{1}{9 x ^{\frac{10}{9}}}

derivative 3x(x^4+5)^5

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

integral of cos^4(x)*sin^2(x)

\int cos^{4} (x) \cdot sin^{2} (x) d x

derivative 3sin(x)+2cos(x)

d er i v a t i v e 3 sin (x) + 2 cos (x)

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

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