Find the Derivative - d/dx f(x)=x^2-1

Problem

d()/d(x)*(x2−1)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=x2−1

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. Simplify the resulting expression by combining the derivatives of the individual terms.

Final Answer

(d(x2)−1)/d(x)=2*x

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