# Find the Derivative - d/dx 1/( square root of x)

Use to rewrite as .

Rewrite as .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Combine and .

Move the negative in front of the fraction.

Differentiate using the Power Rule which states that is where .

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Rewrite the expression using the negative exponent rule .

Multiply and .

Move to the left of .

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