6. Use the nth derivative test to show that – x4 has a maximum at x...
6. Use the nth derivative test to show that -x4 has a maximum at x 0.
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x4 - 4x3 + 1 relative maximum (x,y) - relative minimum (x, y)
f(x) = x4 - 72x2 Enter the critical points in increasing order. (a) Use the derivative to find all critical points. X = 12= X3 = (b) Use a graph to classify each critical point as a local minimum, a local maximum, or neither. X1 = is x2 = IS x3 = 15 Click if you would like to Show Work for this questioni Qen Show Work sy Policy | 2000-2020 John Wiley & Sons, Inc. All Rights Reserved. A...
Question 8 Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive. n1 inconclusive diverges converges, 6 converges. Question 9 Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series. 5-19*loze Error 107 10 no 400 * 10" Error 6.40*10 Error 3.20 x 10
Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive. O converges; In O converges; In 2 inconclusive o diverges
Question 6. (20 pts) Find the critical points of f(x, y) = x4 + 2y2 – 4xy. Then use the Second Derivative Test to determine whether each critical point is a local min, max, or saddle point.
Use the first derivative test to find local extrema Question h(x) = x3 + 32x2 + 120x + 9 Given the function above, use the First Derivative Test to find the local extrema. Select the correct answer below: There is a local minimum at x = -5 and a local maximum at x = -3. O There is a local minimum at x = -3. O There are no local extrema. O There is a local maximum at x =...
(1 point) Find the critical points of f(x) and use the Second Derivative Test of possible) to determine whether each corresponds to a local minimum or maximum. Let f(x) = x exp(-x) e lest ? Critical Point 1 - Critical Point 2 - is what by the Second Derivative Test? is what by the Second Derivative Test?
1. Find the critical point of f(x) = (x + 1)". 2. Use the Second Derivative Test to determine whether f(x) = (x + 1)" has a local maximum or a local minimum at x = 0
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) = Find the derivative of the function. f(x) = (3 + x)2/ f'(x) = Find the derivative of the function. g(t) = 7+4 + 4)5 g'(t) =