Find the Derivative - d/dx 4x-x^2

Problem

d()/d(x)*(4*x−x^2)

Solution

1. Identify the expression as a difference of two terms, 4*x and x^2

2. Apply the sum/difference rule of differentiation, which allows for the derivative of each term to be taken separately.

3. Apply the power rule to the first term, where d()/d(x)*a*x=a

4. Apply the power rule to the second term, where d()/d(x)*x^n=n*x^(n−1)

5. Simplify the resulting expression to find the final derivative.

Final Answer

d()/d(x)*(4*x−x^2)=4−2*x

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