What is the d/(dt)((x)(3t)) ?

The d/(dt)((x)(3t)) is 3(t(dx)/(dt)+x)

What is the first d/(dt)((x)(3t)) ?

The first d/(dt)((x)(3t)) is 3(t(dx)/(dt)+x)

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\frac{d}{d t} ((x) (3 t))

3 (t \frac{d x}{d t} + x)

Solution steps

\frac{d}{d t} ((x) (3 t))

Take the constant out:

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

= 3 \frac{d}{d t} (x t)

Apply the Product Rule:

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

f = x, g = t

= 3 (\frac{d x}{d t} t + \frac{d t}{d t} x)

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

= 3 (\frac{d x}{d t} t + 1 \cdot x)

Simplify

= 3 (t \frac{d x}{d t} + x)

1000 a^{6} - 343 b^{3} c^{6}

(x - 2) + (x - 2)

3 (7 x c - 8 y d + 56 x d - yc)

am - bm + an - bm

x^{2} - 6 + 8

What is the d/(dt)((x)(3t)) ?
The d/(dt)((x)(3t)) is 3(t(dx)/(dt)+x)
What is the first d/(dt)((x)(3t)) ?
The first d/(dt)((x)(3t)) is 3(t(dx)/(dt)+x)