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

The d/(dt)(e^{tsin(2t)}) is e^{tsin(2t)}(sin(2t)+2tcos(2t))

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

The first d/(dt)(e^{tsin(2t)}) is e^{tsin(2t)}(sin(2t)+2tcos(2t))

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\frac{d}{d t} (e^{t s i n (2 t)})

e^{t s i n (2 t)} (sin (2 t) + 2 t cos (2 t))

Solution steps

\frac{d}{d t} (e^{t s i n (2 t)})

Apply the chain rule:

e^{t s i n (2 t)} \frac{d}{d t} (t sin (2 t))

= e^{t s i n (2 t)} \frac{d}{d t} (t sin (2 t))

\frac{d}{d t} (t sin (2 t)) = sin (2 t) + 2 t cos (2 t)

= e^{t s i n (2 t)} (sin (2 t) + 2 t cos (2 t))

\frac{d}{d x} (9 e^{- x})

\frac{d}{d θ} (5 + 5 sin (θ))

(- 1)^{^{'}}

\frac{\partial}{\partial x} (\frac{x - y}{x + z})

y^{^{'}} = \frac{- 1}{x} y + 2

What is the d/(dt)(e^{tsin(2t)}) ?
The d/(dt)(e^{tsin(2t)}) is e^{tsin(2t)}(sin(2t)+2tcos(2t))
What is the first d/(dt)(e^{tsin(2t)}) ?
The first d/(dt)(e^{tsin(2t)}) is e^{tsin(2t)}(sin(2t)+2tcos(2t))