(\partial)/(\partial y)(sqrt(6x-3y))

Lösung

\frac{\partial}{\partial y} (6 x - 3 y)

- \frac{3}{2 6 x - 3 y}

Schritte zur Lösung

\frac{\partial}{\partial y} (6 x - 3 y)

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{2 6 x - 3 y} \frac{\partial}{\partial y} (6 x - 3 y)

= \frac{1}{2 6 x - 3 y} \frac{\partial}{\partial y} (6 x - 3 y)

\frac{\partial}{\partial y} (6 x - 3 y) = - 3

= \frac{1}{2 6 x - 3 y} (- 3)

Vereinfache

\frac{1}{2 6 x - 3 y} (- 3) : - \frac{3}{2 6 x - 3 y}

= - \frac{3}{2 6 x - 3 y}

\int cosh (2 x) d x

x \to 0 lim (\frac{x}{x ^{2} - 2})

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

x \to 1 lim (r (t))

d er i v a t i v e \frac{x ^{2}}{ln ( 3 ^{x} )}