Find dz/dy z=x^y+ natural log of xy

Math
Differentiate both sides of the equation.
The derivative of with respect to is .
Differentiate the right side of the equation.
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By the Sum Rule, the derivative of with respect to is .
Differentiate using the Exponential Rule which states that is where =.
Evaluate .
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Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Reform the equation by setting the left side equal to the right side.
Replace with .
Find dz/dy z=x^y+ natural log of xy


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