- #1
King_Silver
- 83
- 6
I have this function: f(x) = √3x + 2Cos(x)
I have to find the local maxima and minima,where -π ∠ or equal to x ∠ or equal to 2π.
1: Differentiate the function given.
f'(x) = 3/(2√x) -2Sin(x)
2: Find where f'(x) is undefined or = 0 to get critical points.
3: Find f''(x) [The second differential]
4: Sub in critical values for x, if < 0 = Minima, if > 0 = Maxima.
Question 1:What does this domain mean? and how will it affect my answer(s)?
Question 2:Is there any easier way to find where f'(x) is undefined or 0 other than subbing in random values until you get ones that work? I always get stuck at this part despite knowing everything else, without the correct critical values it is pointless to continue with a question.
I have to find the local maxima and minima,where -π ∠ or equal to x ∠ or equal to 2π.
1: Differentiate the function given.
f'(x) = 3/(2√x) -2Sin(x)
2: Find where f'(x) is undefined or = 0 to get critical points.
3: Find f''(x) [The second differential]
4: Sub in critical values for x, if < 0 = Minima, if > 0 = Maxima.
Question 1:What does this domain mean? and how will it affect my answer(s)?
Question 2:Is there any easier way to find where f'(x) is undefined or 0 other than subbing in random values until you get ones that work? I always get stuck at this part despite knowing everything else, without the correct critical values it is pointless to continue with a question.