Find the Derivative - d/d@VAR f(x)=1/2x-1/3

Problem

d()/d(x)*(1/2*x−1/3)

Solution

1. Identify the structure of the function, which is a linear expression of the form ƒ(x)=m*x+b

2. Apply the sum rule for derivatives, which states that the derivative of a sum is the sum of the derivatives.

3. Differentiate the first term 1/2*x using the power rule, which results in the constant coefficient 1/2

4. Differentiate the second term −1/3 using the constant rule, which results in 0

5. Combine the results to find the final derivative.

Final Answer

d()/d(x)*(1/2*x−1/3)=1/2

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