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Beliebt Rechnen >

derivative of 1-e^{-x/(50})

Lösung

\frac{d}{d x} (1 - e^{- \frac{x}{50}})

Lösung

\frac{1}{50} e^{- \frac{x}{50}}

Schritte zur Lösung

\frac{d}{d x} (1 - e^{- \frac{x}{50}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (e^{- \frac{x}{50}})

\frac{d}{d x} (1) = 0

\frac{d}{d x} (e^{- \frac{x}{50}}) = - \frac{1}{50} e^{- \frac{x}{50}}

= 0 - (- \frac{1}{50} e^{- \frac{x}{50}})

Vereinfache

= \frac{1}{50} e^{- \frac{x}{50}}

Graph

Beliebte Beispiele

tangent f(x)=(2x)/(e^{3x^2)},\at x=-1

t an g e n t f (x) = \frac{2 x}{e ^{3 x^{2}}}, at x = - 1

integral of 1/(sqrt(2+3y^2))

\int \frac{1}{2 + 3 y ^{2}} d y

integral of-2x+3

\int - 2 x + 3 d x

derivative of sqrt(2x+2)

\frac{d}{d x} (2 x + 2)

integral of x/(e^{-2x)}

\int \frac{x}{e ^{- 2 x}} d x