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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{1}{y - 3 x}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= \frac{1}{y - 3 x} \cdot 1

Vereinfache

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

Beliebte Beispiele

integral of-24te^{-3t}

\int - 24 t e^{- 3 t} d t

(d^2)/(dx^2)(\sqrt[4]{x})

\frac{d ^{2}}{d x ^{2}} (4 x)

integral of (x^2-x+2)/(x^4+4x^2+3)

\int \frac{x ^{2} - x + 2}{x ^{4} + 4 x ^{2} + 3} d x

integral of in^2x

\int i n^{2} x d x

tangent y=sqrt(x^2-x+10),\at x=3

t an g e n t y = x^{2} - x + 10, at x = 3