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Beliebt Rechnen >

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

Lösung

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

Lösung

1

Schritte zur Lösung

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

Behandle

x, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 0 + 0 + 1

Vereinfache

= 1

Beliebte Beispiele

tangent (sqrt(x))/(x+4),\at 1,0.2

t an g e n t \frac{x}{x + 4}, at 1, 0.2

tangent sqrt(3x+4),\at x=7

t an g e n t 3 x + 4, at x = 7

limit as x approaches 0-of xln(-x)

x \to 0 - lim (x ln (- x))

derivative of x+sin^2(x/3-8)

\frac{d}{d x} (x + sin^{2} (\frac{x}{3}) - 8)

derivative of-3^x

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