(\partial)/(\partial x)(sqrt(4ax))

Lösung

\frac{\partial}{\partial x} (4 a x)

\frac{a}{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (4 a x)

Wende die Kettenregel an:

\frac{1}{2 4 a x} \frac{\partial}{\partial x} (4 a x)

= \frac{1}{2 4 a x} \frac{\partial}{\partial x} (4 a x)

\frac{\partial}{\partial x} (4 a x) = 4 a

= \frac{1}{2 4 a x} \cdot 4 a

Vereinfache

\frac{1}{2 4 a x} \cdot 4 a : \frac{a}{x}

= \frac{a}{x}

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

\frac{d}{d x} (cosh (4 x))

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

x \to 1 + lim (x + 2)

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