What is the first d/(dt)((x)(yt)) ?

The first d/(dt)((x)(yt)) is xy

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d/(dt)((x)(yt))

\frac{d}{d t} ((x) (y t))

x y

Solution steps

\frac{d}{d t} ((x) (y t))

Treat

x, y

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= x y \frac{d t}{d t}

Apply the common derivative:

\frac{d t}{d t} = 1

= x y \cdot 1

Simplify

= x y

12.3

21 a x + 7 b x + 6 a y + 2 b y

a 2 + 33 ab - 50 b 2

x^{3} - 2 x + 4 x - 8

e^{[2100]}