Find the Derivative - d/dy xy^2

Problem

d()/d(y)*x*y2

Solution

1. Identify the variable of differentiation, which is y This means x is treated as a constant in this context.

2. Apply the constant multiple rule by moving the constant x outside of the derivative.

d()/d(y)*x*y2=xd(y2)/d(y)

3. Apply the power rule to the term y2 where the derivative of yn is n*y(n−1)

d(y2)/d(y)=2*y

4. Multiply the constant x by the result of the derivative.

x*(2*y)=2*x*y

Final Answer

d()/d(y)*x*y2=2*x*y

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