(\partial)/(\partial y)(yz-ln(x+z))

Lösung

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

z

Schritte zur Lösung

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

Behandle

z, x

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (yz) = z

\frac{\partial}{\partial y} (ln (x + z)) = 0

= z - 0

Vereinfache

= z

x \to 2 lim (3 x^{2} + 1)

d er i v a t i v e y = 300 (1.056)^{x}

\frac{\partial}{\partial x} (3 x^{2} + 2 x y^{2} + 1)

n = 1 \sum \infty \frac{5}{π ^{2}}

t an g e n t f (x) = \frac{3}{x}, (7, \frac{3}{7})