Solve the Problem $y = 2 x + 4 \sin x$

question 342

Multiple Choice

Solve the problem.
-Does the graph of the function $y = 2 x + 4 \sin x$ have any horizontal tangents in the interval $0 \leq x \leq 2 \pi$ ? If so, where?

• A) Yes, at \(x = \frac { 2 \pi } { 3 }\)
• B) Yes, at \(x = \frac { \pi } { 3 } , x = \frac { 2 \pi } { 3 }\)
• C) \(\mathrm { No }\)
• D) Yes, at \(x = \frac { 2 \pi } { 3 } , x = \frac { 4 \pi } { 3 }\)