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Beliebt Rechnen >

(\partial)/(\partial y)(e^{x^2+y^2-2})

Lösung

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

Lösung

e^{x^{2} + y^{2} - 2} \cdot 2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= e^{x^{2} + y^{2} - 2} \cdot 2 y

Beliebte Beispiele

derivative 3x^2+2

d er i v a t i v e 3 x^{2} + 2

integral from 4 to 14 of 16+(4-x)^2

\int_{4}^{14} 16 + (4 - x)^{2} d x

y^{^{'}} = y + 2 e^{- e}

integral of (xsin(xy))

\int (x sin (x y)) d x

d/(dt)(t/(sqrt(1+t^2)))

\frac{d}{d t} (\frac{t}{1 + t ^{2}})