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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 + 2 x

Vereinfache

= 2 x

Beliebte Beispiele

derivative of {f}(x(-x))

\frac{d}{d x} (f (x) (- x))

derivative 20x^{7/5}-6x^{2/13}

d er i v a t i v e 20 x^{\frac{7}{5}} - 6 x^{\frac{2}{13}}

t an g e n t x^{5}

integral of csc^2(x/3)

\int csc^{2} (\frac{x}{3}) d x

(\partial)/(\partial y)(5y^2e^{5xy})

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