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Beliebt Rechnen >

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

Lösung

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

Lösung

e^{y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 + e^{y}

Vereinfache

= e^{y}

Beliebte Beispiele

y^{''}-2y^'-y=0,y(0)=0,y^'(0)=2sqrt(2)

y^{^{''}} - 2 y^{^{'}} - y = 0, y (0) = 0, y^{^{'}} (0) = 22

derivative sqrt(1)

d er i v a t i v e 1

tangent y=e^{4x},\at x= 1/4 ln(5)

t an g e n t y = e^{4 x}, at x = \frac{1}{4} ln (5)

derivative of (4+8xcosh(2x))

\frac{d}{d x} ((4 + 8 x) cosh (2 x))

laplacetransform 5*sin(2*t)

l a pl a ce t r an s f or m 5 \cdot sin (2 \cdot t)