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

x \to 0 lim (\frac{cos ( 2 x ) - cos ( 5 x )}{x ^{2}})

\int e^{5 x} cos (3 x) d x

\int cos (2 x) - sin (\frac{x}{2}) d x

l a pl a ce t r an s f or m t \cdot sin (k \cdot t)

x \to - 4 lim (- 5 x - 8)