Find the Derivative - d/dy 2xy

Problem

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

Solution

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

2. Apply the constant multiple rule to move the constants 2 and x outside of the derivative.

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

3. Differentiate the variable y with respect to itself.

d(y)/d(y)=1

4. Multiply the results to find the final derivative.

2*x⋅1=2*x

Final Answer

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

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