greenfly139Lv1
26 Oct 2021
Problem 1a
Page 155
Section 2.7: The Derivative As a Function
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
26 Oct 2021
Given information
Given that the graph is
Step-by-step explanation
Step 1.
Consider the graph as follows:
The derivative of a function at a point is found from the graph of the function by fixing a tangent line to the graph at the point given.
A tangent line is a straight line that heads in the same direction as the graph when it is fixed to a specific point.
By this construction, the slope of the tangent line is the same as the slope of the curve at that point and the value of the slope is the derivative of the function at that point.