(\partial)/(\partial y)(sqrt(x^2+y^2))

Lösung

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

\frac{y}{x ^{2} + y ^{2}}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= \frac{1}{2 x ^{2} + y ^{2}} \cdot 2 y

Vereinfache

\frac{1}{2 x ^{2} + y ^{2}} \cdot 2 y : \frac{y}{x ^{2} + y ^{2}}

= \frac{y}{x ^{2} + y ^{2}}

\int_{0}^{8} \frac{5}{x ^{\frac{2}{3}}} d x

t an g e n t y = 2 x^{2} + 1

\frac{d}{d x} ((cos (3 x))^{x})

\int x (3 x + x + 1) d x

d er i v a t i v e f (x) = sin (x) ln (x^{2} + 1)