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Beliebt Rechnen >

derivative of e^x-sin(x-1)

Lösung

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

Lösung

e^{x} - cos (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (sin (x)) = cos (x)

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

= e^{x} - cos (x) - 0

Vereinfache

= e^{x} - cos (x)

Graph

Beliebte Beispiele

(2x+y+1)(dy)/(dx)=1

(2 x + y + 1) \frac{d y}{d x} = 1

derivative of (x^2+x+1e^{-x})

\frac{d}{d x} ((x^{2} + x + 1) e^{- x})

limit as n approaches infinity of 2

n \to \infty lim (2)

integral of 6sin^3(xco)s^5x

\int 6 sin^{3} (x co) s^{5} x d x

derivative of ((x^2)/((1+x)))

\frac{d}{d x} (\frac{( x ^{2} )}{( 1 + x )})