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Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 2 (a) Find...

Consider the function on the interval (0, 2π).

f(x) = sin(x) cos(x) + 2

(a) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.)

increasing    

( )

  
decreasing     ( )  



(b) Apply the First Derivative Test to identify all relative extrema.

relative maxima     (x, y) =
  
(smaller x-value)
(x, y) =

( )

  		 (larger x-value)
relative minima (x, y) =
  
(smaller x-value)
(x, y) =

​

  
(larger x-value)

Solutions

Expert Solution

In this question first we I have first find the interval of increasing and decreasing and then find the relative maxima and relative minima. Hope you understand the solution.

Thank you

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milcah answered 2 years ago
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