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Beliebt Rechnen >

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

Lösung

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

Lösung

e^{2 (2 x + y)} \cdot 4

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (2 (2 x + y)) = 4

= e^{2 (2 x + y)} \cdot 4

Beliebte Beispiele

derivative ln(x^2-1)

d er i v a t i v e ln (x^{2} - 1)

sum from n=0 to infinity of nx^{n-1}

n = 0 \sum \infty n x^{n - 1}

derivative of x^{(-5/9})

\frac{d}{d x} (x^{\frac{- 5}{9}})

derivative f(x)=e^{-(x^2)/2}

d er i v a t i v e f (x) = e^{- \frac{x ^{2}}{2}}

integral from 2 to 8 of (-x+10)

\int_{2}^{8} (- x + 10) d x