(\partial)/(\partial x)(-xln(x)+xln(y)+y)

Lösung

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

ln (y) - ln (x) - 1

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= - (ln (x) + 1) + ln (y) + 0

Vereinfache

= ln (y) - ln (x) - 1

x \to 2 - lim (x^{2} - x + 2)

n = 1 \sum \infty \frac{( 2 ^{n} )}{n !}

a re a 3 x, 4 - x^{2}

4 y^{^{''}} + 26 y = 0

d er i v a t i v e y = 5 x