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Beliebt Rechnen >

(\partial)/(\partial x)(e^{2y^2}+4x^2)

Lösung

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

Lösung

8 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial x} (e^{2 y^{2}}) = 0

\frac{\partial}{\partial x} (4 x^{2}) = 8 x

= 0 + 8 x

Vereinfache

= 8 x

Beliebte Beispiele

integral of-2xcos(3x)

\int - 2 x cos (3 x) d x

integral of x^2(2-x)

\int x^{2} (2 - x) d x

derivative y^{-1}

d er i v a t i v e y^{- 1}

(\partial)/(\partial y)(1/(y^2))

\frac{\partial}{\partial y} (\frac{1}{y ^{2}})

derivative x^{-3}

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