What is \frac{dy}{dx} at x=3.5 equal to?
For the following two (02) items: Let the function f(x)=|x-3|+|x-4| be defined on the interval .
- A. 0 ✓
- B. 1
- C. 2
- D. 3.5
Correct Answer: A. 0
Explanation
In the interval (3, 4), which includes x=3.5, the term (x-3) \gt 0 and (x-4) \lt 0. Thus, f(x) = (x-3) - (x-4) = 1. The derivative of the constant function f(x) = 1 is 0.
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