What is the d/(dt)(e^{8tsin(2t)}) ?

The d/(dt)(e^{8tsin(2t)}) is e^{8tsin(2t)}*8(sin(2t)+2tcos(2t))

What is the first d/(dt)(e^{8tsin(2t)}) ?

The first d/(dt)(e^{8tsin(2t)}) is e^{8tsin(2t)}*8(sin(2t)+2tcos(2t))

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\frac{d}{d t} (e^{8 t s i n (2 t)})

e^{8 t s i n (2 t)} \cdot 8 (sin (2 t) + 2 t cos (2 t))

Solution steps

\frac{d}{d t} (e^{8 t s i n (2 t)})

Apply the chain rule:

e^{8 t s i n (2 t)} \frac{d}{d t} (8 t sin (2 t))

= e^{8 t s i n (2 t)} \frac{d}{d t} (8 t sin (2 t))

\frac{d}{d t} (8 t sin (2 t)) = 8 (sin (2 t) + 2 t cos (2 t))

= e^{8 t s i n (2 t)} \cdot 8 (sin (2 t) + 2 t cos (2 t))

\frac{d}{d x} (10, 0 - 40 x - 0.02 x^{2})

x \to c lim (x^{2} + a)

\frac{1}{8 x}

\frac{d}{d t} (\frac{1}{1 + 4 t ^{2} + 9 t ^{4}})

\frac{d}{d x} ((x + 1)^{x + 1})

What is the d/(dt)(e^{8tsin(2t)}) ?
The d/(dt)(e^{8tsin(2t)}) is e^{8tsin(2t)}*8(sin(2t)+2tcos(2t))
What is the first d/(dt)(e^{8tsin(2t)}) ?
The first d/(dt)(e^{8tsin(2t)}) is e^{8tsin(2t)}*8(sin(2t)+2tcos(2t))