1) find the relative extrema of the function f(x) = x^2+1/x^2 2) find relative extrema of...
[1] (10 points) Find the relative extrema and saddle points for the function f(x,y) = x+y? - 6xy +8y. 121 (10 points) Use Lagrange multipliers to find the maximum value of the function f(x,y)=4-x? -y on the parabola 2y = x² +2.
Suppose that the function graphed below is f(x). Find the locations of all relative extrema of f(x), and tell whether each extremum is a relative maximum or minimum Select the correct choice below and, if necessary, fill in the answer box(cs) to complete your choice. Af(x) OFIN O A. The function f(x) has a relative minimum at x = and has no relative maximum. (Round to the nearest Integer as needed. Use a comma to separate answers as needed.) The...
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x2 + 3x – 9relative maximum (x, y) = _______ relative minimum (x, y) = _______ 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 + 16x3 - 7 relative maximum (x, y) = _______ relative minimum (x, y) = _______
+ 1) Find all relative extrema for y = _ 13 x3 + 3x + 4 2) Find all absolute extrema of f(x) = 2x3 - 9x2 + 12x over the closed interval [ -3,3). Given: f(x) = 2x3 – 3x2 – 36x + 17 3) Find all critical values for f(x). 4) Find all relative extrema of f(x). 5) Find all points of inflection of f(x).
Is x = 0 a relative extrema for function f : R → R that is given by f(x) = sinx − cosx − 1/2(1 + x)^2 Question 3. Is x = 0 a relative extrema for function f:R + R that is given by 1 COS X f(x) = sin x (1 + x)? 2 Prove your claim. State any theorem that is applied in your proof.
ative extrema Find the value(s) of any relative extrema Find the x-values of all points where the function has any re tox)-x-18x2-4 First find the derivative of f(x) Now find any critical numbers of t(x) (Use a comma to separate answers as needed) O B. There are no critical numbers of fx) in any answer boxes within your choice O A. O B. The function has a relative maximum of O C. 0 D. There are no relative extrema es...
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x) = x- 14x + 49 X-10 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. and a relative minimum of at x = 1. O A. The function has a relative maximum of at x = (Use a comma to separate answers as needed.) at x = . OB. There are no...
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x)= x3-3x2 9x-1 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. The function has a relative maximum of (Use a comma to separate answers as needed.) B. There are no relative minima. The function has a relative maximum of (Use a comma to separate answers as needed.) O C. There...
5.1 (10 points): Let f(x,y) = 4 – 22 – y? Find all extrema (both relative and absolute) on the square D = {(x, y): 0 535 2,0 Sy <2}. 5.2 (10 points): Let f(x,y) = ry–2x+3y+100. Classify all critical points (rela- tive minimum, relative maximum, saddle point), and find the absolute maximum and absolute minimum on the triangle enclosed by the lines x = -4, y = 4, and y=++3.
Apply the second derivative test to find the relative extrema of the function f(x)=ln(x2+x+1)