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

Lösung

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

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

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

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

\int x^{3} e^{2 x} d x

n = 1 \sum \infty \frac{n ^{5}}{2 ^{n}}

l a pl a ce t r an s f or m F (x) = sin (2 x) - 2 x cos (2 x)

\int 2 y e^{x y} d y