What is the derivative of (4u)^3 ?

The derivative of (4u)^3 is 192u^2

What is the first derivative of (4u)^3 ?

The first derivative of (4u)^3 is 192u^2

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derivative of

(4 u)^{3}

192 u^{2}

Solution steps

\frac{d}{d u} ((4 u)^{3})

Simplify

(4 u)^{3} : 64 u^{3}

= \frac{d}{d u} (64 u^{3})

Take the constant out:

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

= 64 \frac{d}{d u} (u^{3})

Apply the Power Rule:

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

= 64 \cdot 3 u^{3 - 1}

Simplify

= 192 u^{2}

What is the derivative of (4u)^3 ?
The derivative of (4u)^3 is 192u^2
What is the first derivative of (4u)^3 ?
The first derivative of (4u)^3 is 192u^2