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Beliebt Rechnen >

(\partial)/(\partial y)(sqrt(5x^2+2y^2))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Beliebte Beispiele

integral of 13cos^3(x)

\int 13 cos^{3} (x) d x

(dP)/(dt)= P/5-(P^2)/(75),P(0)=5

\frac{d P}{d t} = \frac{P}{5} - \frac{P ^{2}}{75}, P (0) = 5

derivative y=-sin(x)

d er i v a t i v e y = - sin (x)

integral of (sqrt(x))/(1+x^2)

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

inverselaplace ((e^{-4s}))/(s^2)

in v erse l a pl a ce \frac{( e ^{- 4 s} )}{s ^{2}}