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 is the sum of the derivatives.

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

4. Differentiate the second term 4 using the constant rule, which states that the derivative of a constant is 0

5. Simplify the resulting expression by adding the derivatives together.

Final Answer

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

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