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Beliebt Rechnen >

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

Lösung

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

Lösung

e^{y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= e^{y} + 0

Vereinfache

= e^{y}

Beliebte Beispiele

derivative f(x)= 5/(sqrt(x))

d er i v a t i v e f (x) = \frac{5}{x}

limit as x approaches 0 of e^3-e^{x+3}

x \to 0 lim (e^{3} - e^{x + 3})

integral from 1 to 7 of 6/(x^2)

\int_{1}^{7} \frac{6}{x ^{2}} d x

t^2y^{''}-2y=6t^2-1

t^{2} y^{^{''}} - 2 y = 6 t^{2} - 1

d/(dy)(y(2x+y^3))

\frac{d}{d y} (y (2 x + y^{3}))