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

Problem

d()/d(x)*(x2−1)

Solution

  1. Identify the expression as a difference of two terms, x2 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, x2 which gives 2*x(2−1)=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()/d(x)*(x2−1)=2*x


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