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

The first d/(dt)((x)(2x)) is 4t

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d/(dt)((x)(2x))

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

4 t

Solution steps

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

Simplify

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

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 4 t

ab x^{2} + 7 a x + 2 b x + 14

4 (t)^{2}

+ 64 (m + n)^{3} - 125

(y + 5)^{2} + 4 (y + 5) + 4

e^{3} + e^{5}