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

The d/(dt)(-e^{2t}) is -e^{2t}*2

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

The first d/(dt)(-e^{2t}) is -e^{2t}*2

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

- e^{2 t} \cdot 2

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

\frac{d}{d t} (2 t) = 2

= - e^{2 t} \cdot 2

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