Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine whether each corresponds to a local minimum or maximum. Let f(x) xexp(-x2) Critical Point 1 is what by the Second Derivative Test? Critical Point 2 = is what by the Second Derivative Test?
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- Find the local maximum and minimum values of f(x) = x^5 -5x +3 using the second derivative test when it is not possible use the first derivative testUse the first derivative to find all critical points and use the second derivative to find all inflection points. Use a graph to identify each critical point as a local maximum, a local minimum, or neither. f(x) = x4 − 2x2 f(x) = x^5 − 5x^4 + 353. Determine the critical points for the function below and use the second derivative test to decide if the point is a local maximum or a local minimum.
- Find the critical numbers of f, if any, (a) find the open intervals on which the function is increasing or decreasing, (b) apply the First Derivative Test to identify all relative extrema, and (c) use a graphing utility to confirm your results. (x) = (x3 − 8x) / 4Locate the critical points and determine whether the given functions are either maxima or minima using first derivative test and second derivative test 1.) Y= x (x²-6x-15) + 50Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum using the second derivative test.
- Find the relative maximum point: 1. Given the function f(x) = x3- x2, a relative maximum point occurs at x = (?)Find all the critical points of the function f(x)=5x^6+12x^5-60x^4+56 . Use the First and/or Second Derivative Test to determine whether each critical point is a local maximum, a local minimum, or neither. You may use either test, or both, but you must show your use of the test(s). You do not need to identify any global extrema.Find the local maximum and minimum values of the function f(x)=-x-(25/x). using the Second Derivative Test.
- Find the critical points, use the second derivative test, and determine the relative maximum and minimum for each critical point found. y = 6√x - xFor the function f(x) = 2x4 - 16x2 , find and identify any extrema (maximum/minimum) using the second derivative test.Find the critical numbers of f, if any, (a) find the open intervals on which the function is increasing or decreasing, (b) apply the First Derivative Test to identify all relative extrema, and (c) use a graphing utility to confirm your results. f(x) = −3x2 − 4x − 2