The correct option is B 12√(x) ddx(x^1/2)=12 x^ 1/2 1 #160; #160; #160; by ddx(x^n)=nx^n 1 =12√(x) #160; #160; ...

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Dividing a Monomial by a Monomial

ddxx1/2=?

Question

$\frac{d}{d x} x^{\frac{1}{2}} = ?$

\frac{2}{\sqrt{x}}

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\frac{1}{2 \sqrt{x}}

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- \frac{1}{2 \sqrt{x}}

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\frac{3}{2 \sqrt{x}}

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Solution

The correct option is B $\frac{1}{2 \sqrt{x}}$
$\frac{d}{d x} (x^{\frac{1}{2}}) = \frac{1}{2} x^{\frac{1}{2} - 1}$ by $\frac{d}{d x} (x^{n}) = n x^{n - 1}$

$= \frac{1}{2 \sqrt{x}}$

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