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Beliebt Rechnen >

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

Lösung

\frac{\partial}{\partial x} ((e^{x - y}) g oo g)

Lösung

g^{2} e^{x - y} o^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} ((e^{x - y}) g oo g)

Vereinfache

(e^{x - y}) g oo g : g^{2} e^{x - y} o^{2}

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

Behandle

g, y, o

als Konstanten

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

= g^{2} o^{2} e^{x - y} \cdot 1

Vereinfache

= g^{2} e^{x - y} o^{2}

Beliebte Beispiele

tangent f(x)=1-2cos(x)

t an g e n t f (x) = 1 - 2 cos (x)

derivative of ((x-5/(x+5))^4)

\frac{d}{d x} ((\frac{x - 5}{x + 5})^{4})

integral of (x^3)/(x^2-x-2)

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

derivative y=sqrt(x)+x^pi

d er i v a t i v e y = x + x^{π}

tangent f(x)= 1/(4+3x),\at x=2

t an g e n t f (x) = \frac{1}{4 + 3 x}, at x = 2