Find the direction in which the function is increasing or decreasing most rapidly at the point P o
f(x, y, z) = xy-ln(z), Po(1,-2, 2)
Find the direction in which the function is increasing or decreasing most rapidly at the point P o
Find the direction in which the function is increasing most rapidly at the point Po. f(x,y)= xe Y – In (x), P,(3,0) 9 O A. li + 85 B. Vas ( ) + ( ) it ( 726 ( ve 9 85 OD.
Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in those directions u f(x,y,z) = 4 In (xy) + 2 In (yz)+2 In (xz). Po(1,1,1) In which direction does the function increase most rapidly? (i+1+O (Type exact answers, using radicals as needed) In which direction does the function decrease most rapidly? = (1+) ;+ OK (Type exact answers, using radicals as needed.) What is the value of the...
Find the directions in which the function increases and decreases most rapidly at Po Then find the derivatives of the function in these directions f(x,y,z) = (x/y) - yz, Po(-3.1.4) The direction in which the given function f(x,y,z) = (x/Y)- yz increases most rapidly at Po(-3.1.4) isu = 11+( 1+ k (Type exact answers, using radicals as needed) The direction in which the given function f(x,y,z) = (x/y) - yz decreases most rapidly at Po(-3.1.4) is -u=1:-( k (Type exact...
Find a vector that gives the direction in which the given function increases most rapidly at the indicated point. F(x, y, z) = xy2 + 6xz+y + 3yz?; (1,4,-1)
Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. xy) =x"cos(y) +x"win(x) cos(x)sin(y). Plo The direction in which the given function txy_f(xy)-x3cos(v)+x2vsin(x) + cos(x)sin(y)increases most rapidly at P 0주 is u: " (Type exact answers, using radicals as n (xy)=x3cos(y)+x"win(x)-cos(x)sin(y) The direc on in which the given function f(xy- is eases most rapidly at (Type exact answers, using radicals as needed The derivative of the...
3. Find the gradient ãf and the directional derivative at the point P(1,-1,2) in the direction a = (2,-1,1) for the function f(x, y, z) = xºz-yx + 2. In which direction is the directional derivative at P decreasing most rapidly and what is its value?
(1 point) Consider the function f (x, y) = 3x2 + 4y2. f at the point (-4,1) in the direction given by Find the the directional derivative of the angle 0 Find the vector which describes the direction in which f is increasing most rapidly at (-4, 1)
(1 point) Consider the function f (x, y) = 3x2 + 4y2. f at the point (-4,1) in the direction given by Find the the directional derivative of the angle 0 Find...
This Question: 1 pt 10 of 18 (17 complete) Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in those directions f(x,y,z) - In (xy) + 2 In (yz) + 3 In (xz). Po(1,1,1) In which direction does the function increase most rapidly? u=() i+ 1+ k (Type exact answers, using radicals as needed.) In which direction does the function decrease most rapidly? -u= (1 + ( 1+...
т Find the direction in which f(x, y, z) (4,1,1) - yz decreases most rapidly at the point y ОА 1 27 (1,5,1) 1 (1.-5.-1) 1 27
QUESTION 13 T Find the direction in which f(x, y, z) (4,1,1)? yz decreases most rapidly at the point y ОА 1 (-1,5, -1) 27 OB. (1, -5,1) 27 Ос. 27 (-1,5,1) OD. V27(1.-5, -1) ОЕ 1 (1,5,1) V27