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Beliebt Rechnen >

derivative of y=(3-e^{-x})^2

Lösung

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

Lösung

y = 9 x + 6 e^{- x} - \frac{1}{2} e^{- 2 x} + c_{1}

Schritte zur Lösung

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

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int (3 - e^{- x})^{2} d x

\int (3 - e^{- x})^{2} d x = 9 x + 6 e^{- x} - \frac{1}{2} e^{- 2 x} + c_{1}

y = 9 x + 6 e^{- x} - \frac{1}{2} e^{- 2 x} + c_{1}

Graph

Beliebte Beispiele

integral of 1/(4x-10)

\int \frac{1}{4 x - 10} d x

(\partial)/(\partial x)(sin^2(θ))

\frac{\partial}{\partial x} (sin^{2} (θ))

fläche x=-5,x=1,y=2x^2+4,y=0

a re a x = - 5, x = 1, y = 2 x^{2} + 4, y = 0

integral from-1 to 1 of x+1

\int_{- 1}^{1} x + 1 d x

limit as x approaches 0+of sqrt(1/x)

x \to 0 + lim (\frac{1}{x})