Find the Derivative - d/dx x^2-1

Problem

d over d x times open paren x squared minus 1 close paren

Solution

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

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

3. Apply the power rule to the first term, x squared which gives 2 x raised to the 2 minus 1 power equals 2 x

4. Apply the constant rule to the second term, 1 which gives 0

5. Combine the results to find the final derivative.

Final Answer

d over d x times open paren x squared minus 1 close paren equals 2 x

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