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

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

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

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

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

cos (2 t) \cdot 2

Solution steps

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

Apply the chain rule:

cos (2 t) \frac{d}{d t} (2 t)

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

\frac{d}{d t} (2 t) = 2

= cos (2 t) \cdot 2

\int e^{4 x} cos (5 x) d x

\frac{1}{14 x ^{2}}, \frac{x}{4}, 0, 3 \frac{1}{14}

x \to 2 + lim (\frac{- 4 - x}{7 x - 2})

\int 3 x^{2} - 2 x + 3 d x

\frac{d}{d x} (- \frac{1}{3} x^{3})