What is the d/(du)(4sqrt(u)) ?

The d/(du)(4sqrt(u)) is 2/(sqrt(u))

What is the first d/(du)(4sqrt(u)) ?

The first d/(du)(4sqrt(u)) is 2/(sqrt(u))

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

\frac{2}{u}

Solution steps

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

Take the constant out:

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

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

Apply radical rule:

a = a^{\frac{1}{2}}

= 4 \frac{d}{d u} (u^{\frac{1}{2}})

Apply the Power Rule:

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

= 4 \cdot \frac{1}{2} u^{\frac{1}{2} - 1}

Simplify

4 \cdot \frac{1}{2} u^{\frac{1}{2} - 1} : \frac{2}{u}

= \frac{2}{u}

\int \frac{3 x - 3}{x ^{2} - x - 2} d x

\int 0.5 e^{- 0.5 (x - 1)} d x

\frac{d}{d x} (\frac{1}{x ^{4} + x ^{2} + 1})

x \to - 2 lim (x + 2)

n = 0 \sum \infty \frac{3}{3 ^{n}}