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Find the Derivative - d/dy x^2y

Problem

(d(x2)*y)/d(y)

Solution

  1. Identify the variable of differentiation, which is y

  2. Treat the term x2 as a constant because it does not depend on y

  3. Apply the constant multiple rule for derivatives, which states that (d(c)*ƒ(y))/d(y)=cd(ƒ(y))/d(y)

  4. Differentiate the variable y with respect to y which results in 1

  5. Multiply the constant x2 by the result of the derivative.

Final Answer

(d(x2)*y)/d(y)=x2


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