What is (\partial)/(\partial x)(sqrt(x)) ?

The answer to (\partial)/(\partial x)(sqrt(x)) is 1/(2sqrt(x))

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(\partial)/(\partial x)(sqrt(x))

\frac{\partial}{\partial x} (x)

\frac{1}{2 x}

Solution steps

\frac{\partial}{\partial x} (x)

Apply radical rule:

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

= \frac{\partial}{\partial x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

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

Simplify

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

= \frac{1}{2 x}

\frac{( t - 4 ) ^{3}}{6} + t^{2}

x \to 0 lim (9 sin (x) ln (x))

\int x ln (y) d y

x \to \frac{1}{2} lim (\frac{x}{2 x - 1})

f (x) = (x^{3} + 3 x) (2 x + 4)

What is (\partial)/(\partial x)(sqrt(x)) ?
The answer to (\partial)/(\partial x)(sqrt(x)) is 1/(2sqrt(x))