What is the derivative of sqrt(u) ?

The derivative of sqrt(u) is 1/(2sqrt(u))

What is the first derivative of sqrt(u) ?

The first derivative of sqrt(u) is 1/(2sqrt(u))

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derivative of

u

\frac{1}{2 u}

Solution steps

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

Apply radical rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{1}{2 u}

t an g e n t f (x) = x^{3} - 3 x + 1

n \to \infty lim (x^{2 n})

\frac{d}{d x} (\frac{x ^{2} - 16}{x - 4})

x \to 0 lim (tan (2 x) csc (4 x))

x \to π lim (\frac{5 x}{3})

What is the derivative of sqrt(u) ?
The derivative of sqrt(u) is 1/(2sqrt(u))
What is the first derivative of sqrt(u) ?
The first derivative of sqrt(u) is 1/(2sqrt(u))