1. Find all points of relative min and max of
1. Find all points of relative min and max of 1. Find all points of relative...
2.1 & 2.2 Finding relative max and min, inflection points and graphing Find all the critical values of f)--3)Which critical value gives a relative maximum? Which critical value gives a relative minimum? Find all the inflection points of f(x) 2 -2r +1,ga) Does the function g(r) Jrl have any critical value? Sketch a graph for f(x) such that f'(z) >0 over the intervals (-00,-2) and (2,4); f(a) < 0 over the intervals (-2,2) and (4, oo); f"()0 when 0, r...
9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4 9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4
5. Find the absolute max and absolute min of f(:1, y) = x2 + 2y2 – 2.0 – 4y on the rectangle (<r<2,0 <y<3.
Determine the location of all critical points and determine their nature, that is, min/max/neither. f(x) = ln x - x2/2 NOTE: This function is not defined for values of x that are not positive, that is, x > 0 is the domain. ANS: Critical points (ordered from smallest to largest) x = ____ is a ____ (min/max/neither)
1. (12) Find the critical points and the extreme max and min values of the function f(x) = 3x* - 4x on the interval [-2, 2].
1. (12) Find the critical points and the extreme max and min values of the function f(x)= 3x* - 4x' on the interval [-2, 2].
Find all points where the function has any relative extrema or saddle points and identify the type of relative extremum. f(x,y)= e-(x2 + y2 -by) A. Relative maximum at (0,3) OB. Saddle point at (0,3) O C. Relative maximum at at (0,3) and relative minimum at at (0, -3) OD. No relative extremum or saddle points.
Use Lagrange multipliers to find the min and max of f(x,y,z) = x2-y2+ 2z subject to the constraint x2 + y2 + z2 = 1.
For y = 4x2 * ex on the interval [-4,4] a) find the absolute max/min : b) find the extreme slopes c) make the y’ and y’’ number lines and show their A/B patterns d) List the local max and mins and IPs from c) e) Sketch y showing all the important points and label its patterns, and list its xintercepts and y intercept.
Given f(x) r)s x23,x 2-2 Find the following key features Domain: Range: Relative max: Relative min: Intervals of increasing: Intervals of decreasing: Given f(x) r)s x23,x 2-2 Find the following key features Domain: Range: Relative max: Relative min: Intervals of increasing: Intervals of decreasing: