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Beliebt Rechnen >

derivative of (x^3+2e^x)

Lösung

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

Lösung

3 x^{2} e^{x} + e^{x} (x^{3} + 2)

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3} + 2, g = e^{x}

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

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

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

= 3 x^{2} e^{x} + e^{x} (x^{3} + 2)

Graph

Beliebte Beispiele

y^{^{''}} - 2 y = 5

integral of ((3inx-5)^4)/x

\int \frac{( 3 in x - 5 ) ^{4}}{x} d x

(dy)/(dx)=5y^2-y/x

\frac{d y}{d x} = 5 y^{2} - \frac{y}{x}

laplacetransform 6(t)e^{-2t}

l a pl a ce t r an s f or m 6 (t) e^{- 2 t}

(\partial)/(\partial x)((1+2xy^2)^3)

\frac{\partial}{\partial x} ((1 + 2 x y^{2})^{3})