What is the derivative of e^{7tsin(2t)} ?

The derivative of e^{7tsin(2t)} is e^{7tsin(2t)}*7(sin(2t)+2tcos(2t))

What is the first derivative of e^{7tsin(2t)} ?

The first derivative of e^{7tsin(2t)} is e^{7tsin(2t)}*7(sin(2t)+2tcos(2t))

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derivative of

e^{7 t s i n (2 t)}

e^{7 t s i n (2 t)} \cdot 7 (sin (2 t) + 2 t cos (2 t))

Solution steps

\frac{d}{d t} (e^{7 t s i n (2 t)})

Apply the chain rule:

e^{7 t s i n (2 t)} \frac{d}{d t} (7 t sin (2 t))

= e^{7 t s i n (2 t)} \frac{d}{d t} (7 t sin (2 t))

\frac{d}{d t} (7 t sin (2 t)) = 7 (sin (2 t) + 2 t cos (2 t))

= e^{7 t s i n (2 t)} \cdot 7 (sin (2 t) + 2 t cos (2 t))

f (x) = \frac{- 2 x}{x ^{2} + 1}, at x = 1

\int \frac{2}{( x + 1 ) ^{2}} d x

\int 1 + e^{x} y + x e^{x} y d x

x \to 1 lim (3 x^{2} + 1)

\int (2 - y) d y

What is the derivative of e^{7tsin(2t)} ?
The derivative of e^{7tsin(2t)} is e^{7tsin(2t)}*7(sin(2t)+2tcos(2t))
What is the first derivative of e^{7tsin(2t)} ?
The first derivative of e^{7tsin(2t)} is e^{7tsin(2t)}*7(sin(2t)+2tcos(2t))