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

Problem

d()/d(x)*(x^2−2)

Solution

1. Identify the rule for differentiation, which is the sum/difference rule, allowing the derivative to be taken for each term individually.

d()/d(x)*(x^2−2)=d(x^2)/d(x)−d(2)/d(x)

2. Apply the power rule to the first term, x^2 which states that d(x^n)/d(x)=n*x^(n−1)

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

3. Apply the constant rule to the second term, 2 which states that the derivative of any constant is 0

d(2)/d(x)=0

4. Combine the results to find the final derivative.

2*x−0=2*x

Final Answer

d()/d(x)*(x^2−2)=2*x

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