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Beliebt Rechnen >

derivative of 2+cos(e^x-2-e^x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (2) = 0

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

\frac{d}{d x} (e^{x}) = e^{x}

= 0 - sin (e^{x} - 2) e^{x} - e^{x}

Vereinfache

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

Graph

Beliebte Beispiele

integral from 1 to 5 of x^4ln(5x)

\int_{1}^{5} x^{4} ln (5 x) d x

tangent y=x^{3-3x+1}

t an g e n t y = x^{3 - 3 x + 1}

integral of sqrt(4x-y^2)

\int 4 x - y^{2} d y

integral from 1 to 3 of 1/(x^2)

\int_{1}^{3} \frac{1}{x ^{2}} d x

integral of (1/z-x/(y^2))

\int (\frac{1}{z} - \frac{x}{y ^{2}}) d y