Math Problem Statement
What is f’(-4)
Solution
To determine , we need to find the slope of the graph at , as represents the derivative of , which is the slope of the tangent line to the curve at a given point.
From the graph, between and , the function appears to be a straight line. Specifically:
- At ,
- At ,
This means the line segment is horizontal between these points, so the slope of the line between and is 0. Therefore, the derivative at , which lies on this horizontal segment, is:
Would you like more details or have any further questions?
Here are some follow-up questions related to this graph:
- What is ?
- What is the value of ?
- Where is the function increasing?
- Identify any discontinuities in the graph of .
- What is the maximum value of ?
Tip: The slope of a line segment is calculated by dividing the difference in -values by the difference in -values for two points on the line.
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivative
Slope of a Line
Formulas
Slope Formula: m = (y2 - y1) / (x2 - x1)
Theorems
Basic Derivative Theorem
Suitable Grade Level
Grades 10-12