Find the Derivative - d/dy 3y^2

Problem

(d(3)*y2)/d(y)

Solution

1. Identify the variable of differentiation, which is y and the function to be differentiated, which is 3*y2

2. Apply the power rule for derivatives, which states that d(yn)/d(y)=n*y(n−1)

3. Multiply the constant coefficient 3 by the exponent 2

4. Subtract 1 from the exponent to find the new power of y

5. Simplify the resulting expression.

Final Answer

(d(3)*y2)/d(y)=6*y

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