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Beliebt Rechnen >

(\partial)/(\partial x)(e^y+x)

Lösung

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

Lösung

1

Schritte zur Lösung

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

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)

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

\frac{\partial}{\partial x} (x) = 1

= 0 + 1

Vereinfache

= 1

Beliebte Beispiele

derivative of (6^{2/3}-x^{2/3}^{3/2})

\frac{d}{d x} ((6^{\frac{2}{3}} - x^{\frac{2}{3}})^{\frac{3}{2}})

integral of 1/(x^2+x+5)

\int \frac{1}{x ^{2} + x + 5} d x

integral of e^{3x-2}

\int e^{3 x - 2} d x

(dy)/(dx)-9y^2e^{-1x}=0,y(0)=5

\frac{d y}{d x} - 9 y^{2} e^{- 1 x} = 0, y (0) = 5

tangent y=x^4,\at x=0

t an g e n t y = x^{4}, at x = 0