Find the Derivative - d/dx 1/3x^3

Problem

d()/d(x)1/3*x3

Solution

1. Identify the constant and the power of x in the expression 1/3*x3

2. Apply the power rule for differentiation, which states that d(xn)/d(x)=n*x(n−1)

3. Multiply the constant coefficient 1/3 by the exponent 3

4. Subtract 1 from the original exponent to find the new exponent.

5. Simplify the resulting expression by canceling the coefficients.

Final Answer

d()/d(x)1/3*x3=x2

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