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- How are the absolute maximum and minimum similar to and different from the local extrema?Find the x coordinates of all critical points of the given function. Determine whether each critical point is relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method. g(x)=2x^3-6x+7 x=____(smaller value) x=____(larger value) Find the minimum and maximum value of the function on the given interval by comparing values at the critical points and endpoints: y = 2x2 + 4x + 5, [0, 2]
- find the minimum and maximum value of the function on. the given interval by comparing values at the critical points and endpoints. y = x − 4x/x + 1, [0, 3]find the minimum and maximum value of the function on. the given interval by comparing values at the critical points and endpoints. y = x3 − 6x2 + 8, [1, 6]Find the critical point and determine if the function is increasing or decreasing on the given intervals. y = x^7/2- 7x^2, x > 0 critical point: c =
- Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method. g(x) = 2x3 − 6x + 9 g has at the critical point x = . (smaller x-value) g has at the critical point x = . (larger x-valuefind the minimum and maximum value of the function on. the given interval by comparing values at the critical points and endpoints. y =√x + x2 − 2√x, [0, 4]Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method. g(x) = x3 − 3x + 5 g has a relative maximum at the critical point x =________ (Smaller x-value) g has a relative minimum at the critical point x =____________(larger x-value)
- Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method. f(x) = x2 − 4x + 1 f has a relative minimum at the critical point x =_____________________find the minimum and maximum value of the function on. the given interval by comparing values at the critical points and endpoints. y = θ − 2 sin θ, [0, 2π]Find the coordinates of all critical points of the given function. Determine whethereach critical point is a relative maximum, a relative minimum, or neither, by first applying thesecond derivative test, and, if the test fails, by some other method. f(x) = 3x^3 − 9x + 3