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

Find the Derivative - d/dx 1/( square root of x)
Apply basic rules of exponents.
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Use to rewrite as .
Rewrite as .
Multiply the exponents in .
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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.
Simplify the numerator.
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Multiply by .
Subtract from .
Move the negative in front of the fraction.
Rewrite the expression using the negative exponent rule .
Combine terms.
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Multiply and .
Move to the left of .
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