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

Problem

d()/d(x)*(2*x2−x)

Solution

1. Identify the expression as a difference of two terms, allowing the use of the sum/difference rule for derivatives.

2. Apply the power rule, which states that d(xn)/d(x)=n*x(n−1) to the first term 2*x2

3. Differentiate the first term to get 2⋅2*x(2−1)=4*x

4. Differentiate the second term x using the power rule to get 1*x(1−1)=1

5. Combine the results to find the final derivative.

Final Answer

(d(2)*x2−x)/d(x)=4*x−1

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