Find the Derivative - d/d@VAR f(x)=x^2-4

Problem

d()/d(x)*(x2−4)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=x2−4

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. Differentiate the first term x2 using the power rule, d(xn)/d(x)=n*x(n−1) which gives 2*x

4. Differentiate the constant term −4 which results in 0 since the derivative of any constant is zero.

5. Combine the results to find the final derivative.

Final Answer

(d(x2)−4)/d(x)=2*x

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