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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{d}{d x} (\frac{x ^{2}}{8} - \frac{1}{x})

n = 5 \sum \infty n

\int \frac{x ^{2} + 3 x + 1}{x} d x

\int \frac{1}{3 x ^{2} + 4} d x

f (x) = - 2 x^{4} + 10 x^{2}, at x = - 1

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