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Beliebt Rechnen >

derivative of e^{x^2-3}

Lösung

\frac{d}{d x} (e^{x^{2} - 3})

Lösung

e^{x^{2} - 3} \cdot 2 x

Schritte zur Lösung

\frac{d}{d x} (e^{x^{2} - 3})

Wende die Kettenregel an:

e^{x^{2} - 3} \frac{d}{d x} (x^{2} - 3)

= e^{x^{2} - 3} \frac{d}{d x} (x^{2} - 3)

\frac{d}{d x} (x^{2} - 3) = 2 x

= e^{x^{2} - 3} \cdot 2 x

Graph

Beliebte Beispiele

d/(dt)(10sin(t))

\frac{d}{d t} (10 sin (t))

(d^2y)/(dt^2)+4(dy)/(dt)+4y=0

\frac{d ^{2} y}{d t ^{2}} + 4 \frac{d y}{d t} + 4 y = 0

limit as z approaches 1+i of z^2-5z+10

z \to 1 + i lim (z^{2} - 5 z + 10)

y^{^{'}} = 2 y - 4 x

\frac{d x}{d t} + 3 = 0