Find a vector that gives the direction in which the given function increases most rapidly at...
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...
13. + -12 points ZillEngMath6 9.5.028. Find a vector that gives the direction in which the given function decreases most rapidly at the indicated point. f(x, y) = x3 – y3; (2, -2) Find the minimum rate. eBook Submit Answer Practice Another Version
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 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 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...
(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...
For the scalar field ф-3r2 + 2xy-22: (a) Find the direction in which ф increases most rapidly at the point (1,2,2). (b) Find the rate of change off with distance, dp/ds, at the point (1,2,2) 015/BI in the direction parallel to the vector i+ 2j + 2k. For the scalar field ф-3r2 + 2xy-22: (a) Find the direction in which ф increases most rapidly at the point (1,2,2). (b) Find the rate of change off with distance, dp/ds, at the...
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.
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
4 marks] Find a unit vector in the direction in which J(x,y) - V marks Find a unit vector in the direction in which f(r, decress most rapidly at P(3, 1); and find the rate of change of at P in that direction. 4 marks] Find a unit vector in the direction in which J(x,y) - V marks Find a unit vector in the direction in which f(r, decress most rapidly at P(3, 1); and find the rate of change...