What is (\partial)/(\partial x)(x^{1/2}) ?

The answer to (\partial)/(\partial x)(x^{1/2}) is 1/(2x^{1/2)}

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(\partial)/(\partial x)(x^{1/2})

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

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

Solution steps

\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}}}

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

\frac{d}{d x} (\frac{- 8 x}{x ^{2} + 1})

y = 3 x^{2} ln (x), y = 12 ln (x)

n = 1 \sum \infty 7 e^{- 2 n}

\int (x^{2} + y^{2}) d x

\int 4 - x^{2} d x

What is (\partial)/(\partial x)(x^{1/2}) ?
The answer to (\partial)/(\partial x)(x^{1/2}) is 1/(2x^{1/2)}