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

Problem

d()/d(x)*(2−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 constant rule to the first term, noting that the derivative of a constant is zero.

d(2)/d(x)=0

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

d(x2)/d(x)=2*x

4. Combine the results to find the final derivative.

0−2*x=−2*x

Final Answer

d()/d(x)*(2−x2)=−2*x

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