HELPPPP
What do you need help with?? Where are you stuck?
minimum points of what?
f(x) = cos 2x − 2 sin x
what she said
Are you guys doing the same problem or something??
Gals*
yes
Ahh I dont know the answer sorry.
it's okay
thanks anyway :)
Np :D
without using a graphing package, you can differentiate f' = -2sin(2x) - 2cosx the maximum height will occur when f'=0, that is -2sin(2x) - 2cosx = 0; divide through by -2 sin(2x) + cosx = 0; expand sin(2x) 2sinx.cosx + cosx = 0; divide through by cosx 2sinx + 1 = 0 2sinx = -1 sinx = -1/2, so the stationary points on the graph will occur for reference angle pi/6, with two values of x, one between pi & 3pi/4 & the other between 3pi/4 & 2pi. I'm a bit short of time, so plug those values into your calculator to find your answer - it's likely that one will be a maximum & the other a minimum.
Wolfram says min is -3 at x = pi/2 +2npi
Which makes sense because min of cos2x is -1 and max of sin is 1 so max of 2sin is 2 and -1-2 is -3
i dont understand, what would be x? for max
I thought you wanted the minimum?
i need both
Since you are subtracting, the minimum of the function will be when the first term is a minimum and the second term is a maximum. What is the minimum value for cos2x? What is the maximum value for 2sinx? Subtract. That will be your minimum
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