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Beliebt Rechnen >

derivative of e^{x^2}-1

Lösung

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

Lösung

2 e^{x^{2}} x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= e^{x^{2}} \cdot 2 x - 0

Vereinfache

= 2 e^{x^{2}} x

Graph

Beliebte Beispiele

derivative of x*e^x-1

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

(\partial)/(\partial x)(4e^{x^7y})

\frac{\partial}{\partial x} (4 e^{x^{7} y})

integral of sqrt(x^2-4x+29)

\int x^{2} - 4 x + 29 d x

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

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

y^{10}y^'=13cos(pix)

y^{10} y^{^{'}} = 13 cos (π x)