(\partial)/(\partial x)(2e^{x-3y})

Lösung

\frac{\partial}{\partial x} (2 e^{x - 3 y})

2 e^{x - 3 y}

Schritte zur Lösung

\frac{\partial}{\partial x} (2 e^{x - 3 y})

Behandle

y

als Konstante

Entferne die Konstante:

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

= 2 \frac{\partial}{\partial x} (e^{x - 3 y})

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (x - 3 y) = 1

= 2 e^{x - 3 y} \cdot 1

Vereinfache

= 2 e^{x - 3 y}

d er i v a t i v e x^{4} + y^{4}

\int \frac{sin ( x )}{4} d x

t an g e n t f (x) = 14 - x, at x = 5

\frac{\partial}{\partial x} (\frac{1}{x} + \frac{1}{y})

\frac{d}{d x} ((4 - x^{\frac{2}{3}})^{\frac{3}{2}})