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Find and Classify All the Local Extrema of the Function π\pi

Question 63

Multiple Choice

Find and classify all the local extrema of the function f(x) = x - sin2x.


A) local minima at x = k π\pi +  Find and classify all the local extrema of the function f(x)  = x - sin2x. A)  local minima at x = k  \pi    +   and local maxima at x = k  \pi  -   , where k is an integer B)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer C)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer D)  local minima at x = k  \pi  +   and local maxima at x = k  \pi  -   , where k is an integer E)  local minima at x = 2k  \pi  +   and local maxima at x = 2k  \pi  -   , where k is an integer and local maxima at x = k π\pi -  Find and classify all the local extrema of the function f(x)  = x - sin2x. A)  local minima at x = k  \pi    +   and local maxima at x = k  \pi  -   , where k is an integer B)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer C)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer D)  local minima at x = k  \pi  +   and local maxima at x = k  \pi  -   , where k is an integer E)  local minima at x = 2k  \pi  +   and local maxima at x = 2k  \pi  -   , where k is an integer , where k is an integer
B) local maxima at x = k π\pi +  Find and classify all the local extrema of the function f(x)  = x - sin2x. A)  local minima at x = k  \pi    +   and local maxima at x = k  \pi  -   , where k is an integer B)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer C)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer D)  local minima at x = k  \pi  +   and local maxima at x = k  \pi  -   , where k is an integer E)  local minima at x = 2k  \pi  +   and local maxima at x = 2k  \pi  -   , where k is an integer and local minima at x = k π\pi -  Find and classify all the local extrema of the function f(x)  = x - sin2x. A)  local minima at x = k  \pi    +   and local maxima at x = k  \pi  -   , where k is an integer B)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer C)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer D)  local minima at x = k  \pi  +   and local maxima at x = k  \pi  -   , where k is an integer E)  local minima at x = 2k  \pi  +   and local maxima at x = 2k  \pi  -   , where k is an integer , where k is an integer
C) local maxima at x = k π\pi +  Find and classify all the local extrema of the function f(x)  = x - sin2x. A)  local minima at x = k  \pi    +   and local maxima at x = k  \pi  -   , where k is an integer B)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer C)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer D)  local minima at x = k  \pi  +   and local maxima at x = k  \pi  -   , where k is an integer E)  local minima at x = 2k  \pi  +   and local maxima at x = 2k  \pi  -   , where k is an integer and local minima at x = k π\pi -  Find and classify all the local extrema of the function f(x)  = x - sin2x. A)  local minima at x = k  \pi    +   and local maxima at x = k  \pi  -   , where k is an integer B)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer C)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer D)  local minima at x = k  \pi  +   and local maxima at x = k  \pi  -   , where k is an integer E)  local minima at x = 2k  \pi  +   and local maxima at x = 2k  \pi  -   , where k is an integer , where k is an integer
D) local minima at x = k π\pi +  Find and classify all the local extrema of the function f(x)  = x - sin2x. A)  local minima at x = k  \pi    +   and local maxima at x = k  \pi  -   , where k is an integer B)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer C)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer D)  local minima at x = k  \pi  +   and local maxima at x = k  \pi  -   , where k is an integer E)  local minima at x = 2k  \pi  +   and local maxima at x = 2k  \pi  -   , where k is an integer and local maxima at x = k π\pi -  Find and classify all the local extrema of the function f(x)  = x - sin2x. A)  local minima at x = k  \pi    +   and local maxima at x = k  \pi  -   , where k is an integer B)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer C)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer D)  local minima at x = k  \pi  +   and local maxima at x = k  \pi  -   , where k is an integer E)  local minima at x = 2k  \pi  +   and local maxima at x = 2k  \pi  -   , where k is an integer , where k is an integer
E) local minima at x = 2k π\pi +  Find and classify all the local extrema of the function f(x)  = x - sin2x. A)  local minima at x = k  \pi    +   and local maxima at x = k  \pi  -   , where k is an integer B)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer C)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer D)  local minima at x = k  \pi  +   and local maxima at x = k  \pi  -   , where k is an integer E)  local minima at x = 2k  \pi  +   and local maxima at x = 2k  \pi  -   , where k is an integer and local maxima at x = 2k π\pi -  Find and classify all the local extrema of the function f(x)  = x - sin2x. A)  local minima at x = k  \pi    +   and local maxima at x = k  \pi  -   , where k is an integer B)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer C)  local maxima at x = k  \pi  +   and local minima at x = k  \pi  -   , where k is an integer D)  local minima at x = k  \pi  +   and local maxima at x = k  \pi  -   , where k is an integer E)  local minima at x = 2k  \pi  +   and local maxima at x = 2k  \pi  -   , where k is an integer , where k is an integer

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