Find the Derivative - d/d@VAR f(x)=x^2+8

Problem

d()/d(x)*(x2+8)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=x2+8

2. Apply the sum rule for derivatives, which states that the derivative of a sum is the sum of the derivatives: d()/d(x)*(x2+8)=d(x2)/d(x)+d(8)/d(x)

3. Apply the power rule to the first term, x2 which gives 2*x(2−1)=2*x

4. Apply the constant rule to the second term, 8 which gives 0

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

Final Answer

(d(x2)+8)/d(x)=2*x

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