Find the Derivative - d/dx 3x-x^2

Problem

d()/d(x)*(3*x−x2)

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 each term individually.

3. Differentiate the first term, 3*x which results in 3

4. Differentiate the second term, x2 which results in 2*x

5. Combine the results to find the final derivative.

Final Answer

(d(3)*x−x2)/d(x)=3−2*x

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