What is (\partial)/(\partial x)(x^{0.5}) ?

The answer to (\partial)/(\partial x)(x^{0.5}) is (0.5)/(x^{0.5)}

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(\partial)/(\partial x)(x^{0.5})

\frac{\partial}{\partial x} (x^{0.5})

\frac{0.5}{x ^{0.5}}

Solution steps

\frac{\partial}{\partial x} (x^{0.5})

Apply the Power Rule:

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

= 0.5 x^{0.5 - 1}

Simplify

0.5 x^{0.5 - 1} : \frac{0.5}{x ^{0.5}}

= \frac{0.5}{x ^{0.5}}

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5 x^{3} 7 x, at x = 2

What is (\partial)/(\partial x)(x^{0.5}) ?
The answer to (\partial)/(\partial x)(x^{0.5}) is (0.5)/(x^{0.5)}