Find the Derivative - d/dx x^(2/7)

Problem

d()/d(x)*x(2/7)

Solution

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

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

3. Substitute n=2/7 into the formula.

4. Calculate the new exponent by subtracting 1 from the original exponent: 2/7−1=2/7−7/7=−5/7

5. Simplify the expression to its final form.

Final Answer

d(x(2/7))/d(x)=2/7*x(−5/7)

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