(\partial)/(\partial x)(sqrt(2x+3y))

Lösung

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

\frac{1}{2 x + 3 y}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= \frac{1}{2 2 x + 3 y} \cdot 2

Vereinfache

\frac{1}{2 2 x + 3 y} \cdot 2 : \frac{1}{2 x + 3 y}

= \frac{1}{2 x + 3 y}

x \to \infty lim (\frac{3}{3})

\frac{d}{d x} (x^{l n (5)})

n = 0 \sum \infty \frac{1}{n ^{2} + 5 n + 6}

\int (5 x^{2} + 6 + \frac{9}{x ^{2} + 1}) d x

\frac{d h}{d t} + \frac{1}{2} h = 1