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Beliebt Rechnen >

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

Lösung

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

Lösung

- 2 c e^{- 2 x} - e^{- x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - 2 c e^{- 2 x} - e^{- x}

Beliebte Beispiele

derivative of 2x^4+4x^3+x

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

derivative f(x)=(x^2)/(1+2x)

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

limit as x approaches 0 of 1-(x^2)/6

x \to 0 lim (1 - \frac{x ^{2}}{6})

derivative of sqrt(x)-2e^x

\frac{d}{d x} (x - 2 e^{x})

xy^'+y^'-(x+1)sin(x)+y=0

x y^{^{'}} + y^{^{'}} - (x + 1) sin (x) + y = 0