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Beliebt Rechnen >

d/(dt)(e^tt)

Lösung

\frac{d}{d t} (e^{t} t)

Lösung

e^{t} t + e^{t}

Schritte zur Lösung

\frac{d}{d t} (e^{t} t)

Wende die Produktregel an:

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

f = e^{t}, g = t

= \frac{d}{d t} (e^{t}) t + \frac{d t}{d t} e^{t}

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

\frac{d t}{d t} = 1

= e^{t} t + 1 \cdot e^{t}

Vereinfache

= e^{t} t + e^{t}

Graph

Beliebte Beispiele

derivative of (2+3x^3)

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

inverselaplace e^t

in v erse l a pl a ce e^{t}

limit as x approaches infinity+of e^{-x}

x \to \infty + lim (e^{- x})

(\partial)/(\partial x)(e^{xy^2}+4zy^3)

\frac{\partial}{\partial x} (e^{x y^{2}} + 4 z y^{3})

(1+x^2)(dy)/(dx)+xy=0

(1 + x^{2}) \frac{d y}{d x} + x y = 0