Find the Derivative - d/d@VAR f(x)=x^2-6

Problem

d()/d(x)*(x2−6)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=x2−6

2. Apply the sum rule for derivatives, 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 The power rule states that d(xn)/d(x)=n*x(n−1)

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

4. Apply the constant rule to the second term, 6 The derivative of any constant is 0

d(6)/d(x)=0

5. Combine the results to find the final derivative.

Final Answer

d()/d(x)*(x2−6)=2*x

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