What is the d/(du)((x(u))(u)^3) ?

The d/(du)((x(u))(u)^3) is 4xu^3

What is the first d/(du)((x(u))(u)^3) ?

The first d/(du)((x(u))(u)^3) is 4xu^3

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

4 x u^{3}

Solution steps

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

Simplify

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

= \frac{d}{d u} (x u^{4})

Treat

x

as a constant

Take the constant out:

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

= x \frac{d}{d u} (u^{4})

Apply the Power Rule:

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

= x \cdot 4 u^{4 - 1}

Simplify

= 4 x u^{3}

2 x y - z - 2 x z + y

[m^{2} - 7] + n^{2}

(3^{2})^{2}

1 1^{2} - 78 x + 7

a c + a + 2 a + 2