Find the Derivative - d/dx x^2+4

Problem

d()/d(x)*(x2+4)

Solution

1. Identify the expression as a sum of two terms, x2 and 4

2. Apply the sum rule for derivatives, which states that the derivative of a sum is the sum of the derivatives.

3. Apply the power rule to the first term, where d(xn)/d(x)=n*x(n−1) For x2 the derivative is 2*x

4. Apply the constant rule to the second term, where the derivative of any constant is 0 For 4 the derivative is 0

5. Combine the results to find the final derivative.

Final Answer

d()/d(x)*(x2+4)=2*x

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