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

Lösung

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

\frac{1}{y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial y} (x) = 0

\frac{\partial}{\partial y} (ln (y)) = \frac{1}{y}

= 0 + \frac{1}{y}

Vereinfache

= \frac{1}{y}

\int_{1}^{e^{5}} x^{4} ln (x) d x

d er i v a t i v e y = \frac{x ^{2} - 1}{x ^{2} + 1}

\int_{- 1}^{2} (3 x + 1) d x

in v erse l a pl a ce \frac{x ^{2} + 1}{x ^{2} - x - 6}

d er i v a t i v e f (x) = 8 sin^{6} (x)