What is the first d/(dt)((A(t))(6t)) ?

The first d/(dt)((A(t))(6t)) is 12At

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d/(dt)((A(t))(6t))

\frac{d}{d t} ((A (t)) (6 t))

12 A t

Solution steps

\frac{d}{d t} ((A (t)) (6 t))

Simplify

(A (t)) (6 t) : 6 A t^{2}

= \frac{d}{d t} (6 A t^{2})

Take the constant out:

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

= 6 A \frac{d}{d t} (t^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 6 A \cdot 2 t^{2 - 1}

Simplify

= 12 A t

10 m x - 8 x t - 35 m y + 28 t y

ln (e - e^{2} - 4)

x^{3} - 1 x - 4

x^{2} - \frac{1}{2} x - 14

a^{x + 3} + a^{x}