Find the Derivative - d/dx x^(2/3)

Problem

d()/d(x)*x^(2/3)

Solution

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

2. Apply the formula d()/d(x)*x^n=n*x^(n−1) where n=2/3

3. Subtract 1 from the exponent to find the new power: 2/3−1=−1/3

4. Multiply the original coefficient by the original exponent to get the new coefficient.

5. Simplify the expression by rewriting the negative exponent if necessary.

Final Answer

d()/d(x)*x^(2/3)=2/3*x^(−1/3)

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