with procedure please 4x2 + 18x - 13. 7) Use the second derivative test to find...
(a) Use the second derivative test to find and classify the critical points for the following function. Don’t forget to find the Y-coordinate of the local extremas. f(x) = e x−4 (x 2 − 10x + 17) (b) Find the area enclosed between the curves √ x and x 3 . (You need to sketch the graphs) f(x) = e*-4.x? 10x + 17). vr and 2.3.
(1 point) Use the derivative to find the vertex of the parabola y = -3x2 + 12x - 9. Answer: the vertex has coordinates x = and y =
5. (13 pts) (x) = 2x° -6x° -18x a. Find the location of the local maximum(s) and minimum(s) off. You must show use of calculus. Use either the first derivative or second derivative test to prove they are maximum(s) or minimum(s). b. On what interval(s) is f(x) increasing? C. Use calculus to find and verify the location of any inflection points of f(x). d. On what interval(s) is f(x) concave up?
Please work out step-by-step* Use the second derivative test to find the relative maxima and minima of the given tunction. 11) f(x) = x4-3227 Find all vertical and horizontal asymptotes of the graph of the given function. 6x-9 12) f(x) T+ 2 Diagrams indicating intervals of increase or decrease and concavity are given. Identify a possible graph for a function with these characteristies. 13) Sign of f (x) +++++ Sign off "(x) ++ + ++t + ++ 0 brmhtiscom dEca0...
Question 5 4 pts Find the second derivative of the given functions: f(x) = 8x3.9x2 + 6x +4 (a) 48 (b) 48x2 + 18 (c) 48x2-18x (d) 48x - 18 (e) 48x + 18 O (a) O (b) O (c) O (d) O (e)
se Home Use the derivative to find the vertex of the parabola. y=2x2 + 4x + 3 lework zes & Tests O A. (1,1) O B. (-1,-1) O C. (1, -1) OD. (-1,1) ly Plan Hebook pter Contents s for Success
Find the critical points of the following function. Use the Second Derivative Test to determine if possible) whether each critical point corresponds to a local maximum, local minimum or saddle point. Contem your results with a graphing utility f(x,y) = x + xy-2) + 4y - 12 What are the critical points? (Type an ordered pair Use a comma to separate answers as needed.) Use the Second Derivative Test to find the local maxima. Select the correct choice below and,...
x²-7 Find all critical numbers of the function y=7-4,#4. Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum Select the correct choice below and fill in any answer boxes within your choice. O A. The local maxima occur at x = and the local minima occur at x = (Type an integer or simplified fraction. Use comma to separate answers as needed.) OB. The local maxima occur at x...
4. (14) Use the second derivative test to find the local max and local min values of f(x)=xsin x+cosx on the interval 4 - Зл 9
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x+ 4 relative maximum (x, y) = relative minimum (x, y)