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Beliebt Rechnen >

(\partial)/(\partial y)(sqrt(5x+4y))

Lösung

\frac{\partial}{\partial y} (5 x + 4 y)

Lösung

\frac{2}{5 x + 4 y}

Schritte zur Lösung

\frac{\partial}{\partial y} (5 x + 4 y)

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{2 5 x + 4 y} \frac{\partial}{\partial y} (5 x + 4 y)

= \frac{1}{2 5 x + 4 y} \frac{\partial}{\partial y} (5 x + 4 y)

\frac{\partial}{\partial y} (5 x + 4 y) = 4

= \frac{1}{2 5 x + 4 y} \cdot 4

Vereinfache

\frac{1}{2 5 x + 4 y} \cdot 4 : \frac{2}{5 x + 4 y}

= \frac{2}{5 x + 4 y}

Beliebte Beispiele

derivative of 7/(sqrt(x+1))

\frac{d}{d x} (\frac{7}{x + 1})

integral from 1 to 5 of w^2ln(w)

\int_{1}^{5} w^{2} ln (w) d w

integral of ({y})/(L{y\)}

\int \frac{{ y }}{L { y }} d L

tangent 5/((x^2+1))

t an g e n t \frac{5}{( x ^{2} + 1 )}

integral of 1+cos(2θ)

\int 1 + cos (2 θ) d θ