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Beliebt Rechnen >

d/(d{x)}({x}{z}+e^{-{x}^2+{y}})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (x z) = z

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

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

Beliebte Beispiele

laplacetransform 1+7t

l a pl a ce t r an s f or m 1 + 7 t

integral of (x^2)/((4+x^3)^2)

\int \frac{x ^{2}}{( 4 + x ^{3} ) ^{2}} d x

integral of+x^2ln(x)

\int + x^{2} ln (x) d x

derivative y(X)=(5X^3+2X^2-1)/(X^2)

d er i v a t i v e y (X) = \frac{5 X ^{3} + 2 X ^{2} - 1}{X ^{2}}

integral of e^t

\int e^{t} d t