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

Problem

d(y(1/2))/d(y)

Solution

1. Identify the rule needed for differentiation, which is the Power Rule.

2. Apply the Power Rule, which states that d(xn)/d(x)=n*x(n−1)

3. Substitute n=1/2 into the formula to find the derivative.

4. Subtract 1 from the exponent: 1/2 - 1 = -1/2$.

5. Simplify the expression by rewriting the negative exponent as a square root in the denominator.

Final Answer

d(y(1/2))/d(y)=1/(2√(,y))

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