Solve the Problem $y = \tan x - x$ Have Any Horizontal Tangents in the Interval

question 175

Multiple Choice

Solve the problem.
-Does the graph of the function $y = \tan x - x$ have any horizontal tangents in the interval $0 \leq x \leq 2 \pi$ ? If so, where?

• A) Yes, at \(x = \frac { \pi } { 2 } , x = \frac { 3 \pi } { 2 }\)
• B) Yes, at \(x = \pi\)
• C) \(\mathrm { No }\)
• D) Yes, at \(x = 0 , x = \pi , x = 2 \pi\)

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