The function f(x) = tan x − x is:
The function f(x) = tan x − x is:
- A. Always increasing
- B. Always decreasing
- C. Increasing for x > 0
- D. Decreasing for x < 0
Answer: A) Always increasing
Explanation: f'(x) = sec² x − 1 = tan² x ≥ 0 for all x in domain. f'(x) = 0 only at x = nπ, isolated points, so f is strictly increasing on each interval of its domain.
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