Solve frac{1/sqrt{x}dx}{d(sqrt{x})}

$$\frac { \frac { 1 } { \sqrt { x } } d x } { d ( \sqrt { x } ) }$$

Evaluate

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Solution Steps

Express \frac{1}{\sqrt{x}}d as a single fraction.

$$\frac{\frac{d}{\sqrt{x}}x}{d\sqrt{x}}$$

Express \frac{d}{\sqrt{x}}x as a single fraction.

$$\frac{\frac{dx}{\sqrt{x}}}{d\sqrt{x}}$$

Express \frac{\frac{dx}{\sqrt{x}}}{d\sqrt{x}} as a single fraction.

$$\frac{dx}{\sqrt{x}d\sqrt{x}}$$

Cancel out d in both numerator and denominator.

$$\frac{x}{\sqrt{x}\sqrt{x}}$$

Multiply \sqrt{x} and \sqrt{x} to get \left(\sqrt{x}\right)^{2}.

$$\frac{x}{\left(\sqrt{x}\right)^{2}}$$

Calculate \sqrt{x} to the power of 2 and get x.

$$\frac{x}{x}$$

Cancel out x in both numerator and denominator.

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Factor

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