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Beliebt Rechnen >

(\partial)/(\partial x)(e^{7x+3y})

Lösung

\frac{\partial}{\partial x} (e^{7 x + 3 y})

Lösung

e^{7 x + 3 y} \cdot 7

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{7 x + 3 y})

Behandle

y

als Konstante

Wende die Kettenregel an:

e^{7 x + 3 y} \frac{\partial}{\partial x} (7 x + 3 y)

= e^{7 x + 3 y} \frac{\partial}{\partial x} (7 x + 3 y)

\frac{\partial}{\partial x} (7 x + 3 y) = 7

= e^{7 x + 3 y} \cdot 7

Beliebte Beispiele

integral of-xsqrt(1-x^2)

\int - x 1 - x^{2} d x

derivative of-x+4

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

limit as x approaches-1+of x^2

x \to - 1 + lim (x^{2})

integral of (x+1)^2e^x

\int (x + 1)^{2} e^{x} d x

integral of 1/(2x+4)

\int \frac{1}{2 x + 4} d x