use the table below to find d/dxg(x)+f(x)|x = 3. x 1 2 3 4 5 f(x) 4 1 3 2 5 g(x) 3 2 4 5 1 d/dxg(x)+f(x)|x =…
use the table below to find d/dxg(x)+f(x)|x = 3. x 1 2 3 4 5 f(x) 4 1 3 2 5 g(x) 3 2 4 5 1 d/dxg(x)+f(x)|x = 3 = (type an integer or a decimal.)
Answer
Explanation:
Step1: Recall derivative rule
By the sum - rule of derivatives, $\frac{d}{dx}[g(x)+f(x)]=\frac{dg(x)}{dx}+\frac{df(x)}{dx}=g^{\prime}(x)+f^{\prime}(x)$.
Step2: Evaluate at $x = 3$
We need to find the value of $g^{\prime}(x)+f^{\prime}(x)$ when $x = 3$. From the table, when $x = 3$, $f^{\prime}(3)=3$ and $g^{\prime}(3)=4$. So, $g^{\prime}(3)+f^{\prime}(3)=4 + 3$.
Answer:
7