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Beliebt Rechnen >

derivative of ln(x+y-1)

Lösung

\frac{d}{d x} (ln (x + y - 1))

Lösung

\frac{\frac{d y}{d x} + 1}{x + y - 1}

Schritte zur Lösung

\frac{d}{d x} (ln (x + y - 1))

Wende die Kettenregel an:

\frac{1}{x + y - 1} \frac{d}{d x} (x + y - 1)

= \frac{1}{x + y - 1} \frac{d}{d x} (x + y - 1)

\frac{d}{d x} (x + y - 1) = \frac{d y}{d x} + 1

= \frac{1}{x + y - 1} (\frac{d y}{d x} + 1)

Vereinfache

\frac{1}{x + y - 1} (\frac{d y}{d x} + 1) : \frac{\frac{d y}{d x} + 1}{x + y - 1}

= \frac{\frac{d y}{d x} + 1}{x + y - 1}

Beliebte Beispiele

x^2((dy)/(dx))=y-yx

x^{2} (\frac{d y}{d x}) = y - y x

derivative y=(x+2)^2-3

d er i v a t i v e y = (x + 2)^{2} - 3

integral of (3x^2+ln(x))

\int (3 x^{2} + ln (x)) d x

integral from-5 to 5 of y/(sqrt(25-y^2))

\int_{- 5}^{5} \frac{y}{25 - y ^{2}} d y

derivative x^3(2x-1)^7

d er i v a t i v e x^{3} (2 x - 1)^{7}