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Beliebt Rechnen >

derivative of 7-(1.01^{-x^2})

Lösung

\frac{d}{d x} (7 - (1.01)^{- x^{2}})

Lösung

0.01990 \dots \cdot 1.0 1^{- x^{2}} x

Schritte zur Lösung

\frac{d}{d x} (7 - (1.01)^{- x^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (7) - \frac{d}{d x} (1.0 1^{- x^{2}})

\frac{d}{d x} (7) = 0

\frac{d}{d x} (1.0 1^{- x^{2}}) = - 0.01990 \dots \cdot 1.0 1^{- x^{2}} x

= 0 - (- 0.01990 \dots \cdot 1.0 1^{- x^{2}} x)

Vereinfache

= 0.01990 \dots \cdot 1.0 1^{- x^{2}} x

Graph

Beliebte Beispiele

(\partial)/(\partial x)(3x^2-6x-9)

\frac{\partial}{\partial x} (3 x^{2} - 6 x - 9)

integral of 1/(sqrt(4x+1))

\int \frac{1}{4 x + 1} d x

derivative of (ln(sin^x(x))/x)

\frac{d}{d x} (\frac{ln ( sin ^{x} ( x ) )}{x})

derivative sin(7x)

d er i v a t i v e sin (7 x)

fläche x^3-2x^2+4,3x^2+5x-21

a re a x^{3} - 2 x^{2} + 4, 3 x^{2} + 5 x - 21