Use the table to find the following derivatives.
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d/dx (f(x) + g(x)) ∣x=1

Verified step by step guidance

1. Step 1: Recall the sum rule for derivatives, which states that the derivative of a sum of functions is the sum of their derivatives. In mathematical terms, this is expressed as \( \frac{d}{dx} [f(x) + g(x)] = f'(x) + g'(x) \).
2. Step 2: Identify the point at which you need to evaluate the derivative, which is \( x = 1 \) in this problem.
3. Step 3: Use the table provided in the problem to find the values of \( f'(1) \) and \( g'(1) \). These are the derivatives of \( f(x) \) and \( g(x) \) evaluated at \( x = 1 \).
4. Step 4: Substitute the values of \( f'(1) \) and \( g'(1) \) from the table into the expression \( f'(1) + g'(1) \).
5. Step 5: Simplify the expression to find the value of the derivative \( \frac{d}{dx} (f(x) + g(x)) \) at \( x = 1 \).