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

Lösung

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

2 e^{x - 2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial x} (y) = 0

= 2 e^{x - 2} - 0

Vereinfache

= 2 e^{x - 2}

d er i v a t i v e f (x) = \frac{- x ^{2} - 1}{( x ^{2} + 1 ) ^{2}}

\int sin (20 x) sin (21 x) d x

\int x (\frac{1}{x}) d x

\frac{d}{d x} (\frac{4 x ^{2} + 5}{x ^{2} + 7})

\frac{\partial}{\partial y} (10 - 6 y + e^{- 3 x})