Find the Derivative - d/dy 1/(y^2)

Problem

d()/d(y)1/(y2)

Solution

1. Rewrite the expression using a negative exponent to make it easier to differentiate.

1/(y2)=y(−2)

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

d(y(−2))/d(y)=−2*y(−2−1)

3. Simplify the exponent by performing the subtraction.

−2*y(−2−1)=−2*y(−3)

4. Rewrite the result using a positive exponent by moving the variable back to the denominator.

−2*y(−3)=−2/(y3)

Final Answer

d()/d(y)1/(y2)=−2/(y3)

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