Find the Derivative - d/dx x^2-x

Problem

d()/d(x)*(x2−x)

Solution

1. Identify the expression as a difference of two terms, x2 and x

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

d()/d(x)*(x2−x)=d(x2)/d(x)−d(x)/d(x)

3. Apply the power rule to each term, where d(xn)/d(x)=n*x(n−1)

4. Differentiate x2 to get 2*x(2−1)=2*x

5. Differentiate x to get 1*x(1−1)=1

6. Combine the results to find the final derivative.

Final Answer

d()/d(x)*(x2−x)=2*x−1

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