What is the d/(dt)((x)(sin(2t))) ?

The d/(dt)((x)(sin(2t))) is (dx)/(dt)sin(2t)+cos(2t)*2x

What is the first d/(dt)((x)(sin(2t))) ?

The first d/(dt)((x)(sin(2t))) is (dx)/(dt)sin(2t)+cos(2t)*2x

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\frac{d}{d t} ((x) (sin (2 t)))

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

Solution steps

\frac{d}{d t} ((x) (sin (2 t)))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sin (2 t)

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

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

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

A x^{3} e^{- 2 x} + B x^{2} e^{- 2 x}

\frac{x}{x + 1 - 1}

x^{2} - x y + x z - yz

2 x^{2} + 4 x + 2 + x + 1

6.4

What is the d/(dt)((x)(sin(2t))) ?
The d/(dt)((x)(sin(2t))) is (dx)/(dt)sin(2t)+cos(2t)*2x
What is the first d/(dt)((x)(sin(2t))) ?
The first d/(dt)((x)(sin(2t))) is (dx)/(dt)sin(2t)+cos(2t)*2x