Questions: Differentiate the function. g(x)=2 x+7 g'(x)=

Transcript text: Submit Answer 4. [-/1 Points] DETAILS MY NOTES SCALCET9 3.1.003. Differentiate the function. \[ \begin{array}{l} g(x)=2 x+7 \\ g^{\prime}(x)=\square \end{array} \] $\square$ Need Help? Read It Watch It Submit Answer

Solution

Solution Steps

To differentiate the function $ g(x) = 2x + 7 $, we apply the basic rules of differentiation. The derivative of a constant is zero, and the derivative of $ 2x $ is simply the coefficient 2, as the power of $ x $ is 1.

Step 1: Define the Function

We start with the function given by \[ g(x) = 2x + 7. \]

Step 2: Differentiate the Function

To find the derivative $ g'(x) $, we apply the rules of differentiation: