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Beliebt Rechnen >

derivative of cos(e^{-5x^2})

Lösung

\frac{d}{d x} (cos (e^{- 5 x^{2}}))

Lösung

10 e^{- 5 x^{2}} x sin (e^{- 5 x^{2}})

Schritte zur Lösung

\frac{d}{d x} (cos (e^{- 5 x^{2}}))

Wende die Kettenregel an:

- sin (e^{- 5 x^{2}}) \frac{d}{d x} (e^{- 5 x^{2}})

= - sin (e^{- 5 x^{2}}) \frac{d}{d x} (e^{- 5 x^{2}})

\frac{d}{d x} (e^{- 5 x^{2}}) = - 10 e^{- 5 x^{2}} x

= - sin (e^{- 5 x^{2}}) (- 10 e^{- 5 x^{2}} x)

Vereinfache

= 10 e^{- 5 x^{2}} x sin (e^{- 5 x^{2}})

Graph

Beliebte Beispiele

limit as x approaches 0 of (1-5x)^{5/x}

x \to 0 lim ((1 - 5 x)^{\frac{5}{x}})

(d^2)/(dx^2)(5xcos(x^2))

\frac{d ^{2}}{d x ^{2}} (5 x cos (x^{2}))

integral of (3-2x)^5

\int (3 - 2 x)^{5} d x

(\partial)/(\partial x)(e^{(x+y)}-1)

\frac{\partial}{\partial x} (e^{(x + y)} - 1)

derivative-sin(2(3))3

d er i v a t i v e - sin (2 (3)) 3