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Beliebt Rechnen >

(\partial)/(\partial x)(e^{2x+5y})

Lösung

\frac{\partial}{\partial x} (e^{2 x + 5 y})

Lösung

e^{2 x + 5 y} \cdot 2

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{2 x + 5 y})

Behandle

y

als Konstante

Wende die Kettenregel an:

e^{2 x + 5 y} \frac{\partial}{\partial x} (2 x + 5 y)

= e^{2 x + 5 y} \frac{\partial}{\partial x} (2 x + 5 y)

\frac{\partial}{\partial x} (2 x + 5 y) = 2

= e^{2 x + 5 y} \cdot 2

Beliebte Beispiele

derivative of cos(x-pi/4)

\frac{d}{d x} (cos (x - \frac{π}{4}))

derivative y=4x^2-2x+(-9)

d er i v a t i v e y = 4 x^{2} - 2 x + (- 9)

d/(du)(sqrt(uv))

\frac{d}{d u} (uv)

integral of 7x^{3/4}

\int 7 x^{\frac{3}{4}} d x

derivative (1+cos^2(x))^6

d er i v a t i v e (1 + cos^{2} (x))^{6}