Math Problem Statement
For the following exercises, use the following figure to find the indicated derivatives, if they exist. Let h(x) = f(x) + g(x). Find a. h′(1), b. h′(3), and c. h′(4).
Solution
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Math Problem Analysis
Mathematical Concepts
Piecewise Linear Functions
Derivatives
Slope
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Sum rule of derivatives: (f + g)' = f' + g'
Theorems
Derivative of Linear Functions
Piecewise Function Analysis
Suitable Grade Level
Grades 11-12