# Find the Derivative – d/dx square root of xy

Use to rewrite as .
Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
Differentiate using the Power Rule which states that is where .
Replace all occurrences of with .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Combine fractions.
Move the negative in front of the fraction.
Combine and .
Move to the denominator using the negative exponent rule .
Since is constant with respect to , the derivative of with respect to is .
Combine and .
Differentiate using the Power Rule which states that is where .
Multiply by .
Simplify.
Apply the product rule to .
Combine terms.
Move to the numerator using the negative exponent rule .
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Subtract from .
Find the Derivative – d/dx square root of xy