6. Find and classify the critical points for
6. Find and classify the critical points for
(a) Find and classify all of the critical points of the function X f(x, y, z) = (x2 +42 + x2)3/2 on the unit sphere. (b) Find and classify all of the critical points of the function f(x, y, z) = x sin(x2 + y2 +22) on the sphere of radius
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank The critical point with the smallest x-coordinate is (local minimum, local maximum, saddie point, cannot ) Classification be determined) The cnitical point with the next smallest x-coordinate is Classification "(local minimum, local maximum, saddle point cannot be determined) is ) Classification (local minimum, local maximum, saddle point cannot
Find and classify all critical points of the function. If...
(1 point) Consider the function f(x, y) = e-8x=x2-4y—y2 Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fxx = fxy =
Find all critical points of 3.22 12x3 and classify them.
1. Find all critical points for the given function and classify each as a local maximum, local minimum, or saddle point. a) f(x,y)= 2 +2y2-2xy + 4x-6y-5 b) f(z, y) = 813 + 6xy2-24r2-6y2 + 4 d) f(x,y) = cosx cos y,-r<1<T,-π < y < π
9y3 + 3x2y-6y + 2 . 3. Find and classify all the critical points of f(x,y)
9y3 + 3x2y-6y + 2 . 3. Find and classify all the critical points of f(x,y)
(17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point
(17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point
7. [23] Given the following function:: f(x)-x-4x +6 (a) Find all of the critical points of this function. Show your work. (b) Characterize each of the critical points as a local maximum, a local minimum or neither. Show your work. (c) Find all of the inflection points of this function (verify that it/they are indeed inflection points). (d) On what interval(s) is this function both decreasing and concave down? on the interval -15xs1. Show (e)Find the global maximum and minimum...
2. Find and classify all critical points for f(x,y) = -22 + y? (x - 8)