What is the d/(dt)(e^{9tsin(2t)}) ?

The d/(dt)(e^{9tsin(2t)}) is e^{9tsin(2t)}*9(sin(2t)+2tcos(2t))

What is the first d/(dt)(e^{9tsin(2t)}) ?

The first d/(dt)(e^{9tsin(2t)}) is e^{9tsin(2t)}*9(sin(2t)+2tcos(2t))

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\frac{d}{d t} (e^{9 t s i n (2 t)})

e^{9 t s i n (2 t)} \cdot 9 (sin (2 t) + 2 t cos (2 t))

Solution steps

\frac{d}{d t} (e^{9 t s i n (2 t)})

Apply the chain rule:

e^{9 t s i n (2 t)} \frac{d}{d t} (9 t sin (2 t))

= e^{9 t s i n (2 t)} \frac{d}{d t} (9 t sin (2 t))

\frac{d}{d t} (9 t sin (2 t)) = 9 (sin (2 t) + 2 t cos (2 t))

= e^{9 t s i n (2 t)} \cdot 9 (sin (2 t) + 2 t cos (2 t))

y^{^{''}} + 4 y^{^{'}} = t^{2} + 3 e^{t}

\int e^{- v} cos (w v) d v

\int 4 + x^{2} d x

x \to 3 lim (\frac{1 - x}{x ^{2} - 9})

d y - (y - 9)^{2} \cdot d x = 0

What is the d/(dt)(e^{9tsin(2t)}) ?
The d/(dt)(e^{9tsin(2t)}) is e^{9tsin(2t)}*9(sin(2t)+2tcos(2t))
What is the first d/(dt)(e^{9tsin(2t)}) ?
The first d/(dt)(e^{9tsin(2t)}) is e^{9tsin(2t)}*9(sin(2t)+2tcos(2t))