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Beliebt Rechnen >

(\partial)/(\partial x)((e^x+e^y)^7)

Lösung

\frac{\partial}{\partial x} ((e^{x} + e^{y})^{7})

Lösung

7 (e^{x} + e^{y})^{6} e^{x}

Schritte zur Lösung

\frac{\partial}{\partial x} ((e^{x} + e^{y})^{7})

Behandle

y

als Konstante

Wende die Kettenregel an:

7 (e^{x} + e^{y})^{6} \frac{\partial}{\partial x} (e^{x} + e^{y})

= 7 (e^{x} + e^{y})^{6} \frac{\partial}{\partial x} (e^{x} + e^{y})

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

= 7 (e^{x} + e^{y})^{6} e^{x}

Beliebte Beispiele

(\partial)/(\partial x)(xln(z^3+x^3))

\frac{\partial}{\partial x} (x ln (z^{3} + x^{3}))

integral of 9sqrt(1+e^x)

\int 9 1 + e^{x} d x

y^{''}+2y^'+2y=e^{-t},y(0)=0,y^'(0)=1

y^{^{''}} + 2 y^{^{'}} + 2 y = e^{- t}, y (0) = 0, y^{^{'}} (0) = 1

derivative of x^2-3x+5

\frac{d}{d x} (x^{2} - 3 x + 5)

derivative of-(11/(x^6))

\frac{d}{d x} (- \frac{11}{x ^{6}})