assume the entire graph of f(x) is shown below. use the graph to to complete parts a through c. a. compare f…
assume the entire graph of f(x) is shown below. use the graph to to complete parts a through c. a. compare f (1) and f (2). select one. a. f (1) > f (2) b. f (1) < f (2) c. f (1) = f (2)
Answer
Explanation:
Step1: Recall derivative meaning
The derivative $f^{\prime}(x)$ represents the slope of the tangent - line to the graph of $y = f(x)$ at the point $x$.
Step2: Observe slopes at $x = 1$ and $x = 2$
At $x = 1$, the graph of $y=f(x)$ is increasing and has a relatively steep positive - slope. At $x = 2$, the graph is still increasing but has a less steep positive - slope.
Answer:
A. $f^{\prime}(1)>f^{\prime}(2)$