What is the d/(dt)(e^{2t}*y) ?

The d/(dt)(e^{2t}*y) is e^{2t}*2y+(dy)/(dt)e^{2t}

What is the first d/(dt)(e^{2t}*y) ?

The first d/(dt)(e^{2t}*y) is e^{2t}*2y+(dy)/(dt)e^{2t}

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\frac{d}{d t} (e^{2 t} \cdot y)

e^{2 t} \cdot 2 y + \frac{d y}{d t} e^{2 t}

Solution steps

\frac{d}{d t} (e^{2 t} y)

Apply the Product Rule:

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

f = e^{2 t}, g = y

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

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

= e^{2 t} \cdot 2 y + \frac{d y}{d t} e^{2 t}

x \to 4 lim (\frac{( 2 + x ) ^{3} - 8}{x})

2 (s + 2)

\int - 3 cos (x) + 4 sec^{2} (x) d x

\frac{\partial}{\partial x} (4 cos (4 x))

\frac{1}{x + 1}

What is the d/(dt)(e^{2t}*y) ?
The d/(dt)(e^{2t}*y) is e^{2t}*2y+(dy)/(dt)e^{2t}
What is the first d/(dt)(e^{2t}*y) ?
The first d/(dt)(e^{2t}*y) is e^{2t}*2y+(dy)/(dt)e^{2t}