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Beliebt Rechnen >

(\partial)/(\partial y)(ln(x+y))

Lösung

\frac{\partial}{\partial y} (ln (x + y))

Lösung

\frac{1}{x + y}

Schritte zur Lösung

\frac{\partial}{\partial y} (ln (x + y))

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{x + y} \frac{\partial}{\partial y} (x + y)

= \frac{1}{x + y} \frac{\partial}{\partial y} (x + y)

\frac{\partial}{\partial y} (x + y) = 1

= \frac{1}{x + y} \cdot 1

Vereinfache

= \frac{1}{x + y}

Beliebte Beispiele

(dy)/(dx)=xsqrt(x-24)

\frac{d y}{d x} = x x - 24

tangent x^2+y^2=29,(2,-5)

t an g e n t x^{2} + y^{2} = 29, (2, - 5)

derivative of arcsin(sqrt(sin(x)))

\frac{d}{d x} (arcsin (sin (x)))

(df)/(dx)=tan^3(x)-sec^3(x)

\frac{df}{d x} = tan^{3} (x) - sec^{3} (x)

sum from n=1 to infinity of (80)/(8^n)

n = 1 \sum \infty \frac{80}{8 ^{n}}