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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Beliebte Beispiele

fläche y=4sqrt(x),y=(4x)/3

a re a y = 4 x, y = \frac{4 x}{3}

(\partial)/(\partial x)(cos(6x))

\frac{\partial}{\partial x} (cos (6 x))

derivative of |x^3+8x^2+5x-50|

\frac{d}{d x} (x^{3} + 8 x^{2} + 5 x - 50)

integral of 1/(2+8x)

\int \frac{1}{2 + 8 x} d x

integral of sec(13w)tan(13w)

\int sec (13 w) tan (13 w) d w