Option A is correct.
Find all the first order partial derivatives for the following function. - (sin xy)cos yz 2)...
Find the all first-order partial derivatives 9. f(x, y, z) = 3x In(x?yz) + xhiz 2 10. f(x, y, z)= 7,21 02 +22 Sin 6. fls. 1) = sin(x – ») + x?tany 7. f(x, y) = ["sindi
Find all the first and second order. partial derivatives of f(x, y) = 8 sin(2x + y) - 2 cos(x - y). A. SI = fr = B. = fy = c. = f-z = D. = fyy = E. By = fyz = F. = Sxy=
Problem 5. (1 point) Find all the first and second order partial derivatives of f(x,y) 7 sin(2x + y) + 9 cos(x - y). A. = fx(x,y) = B. = fy(x, y) = af C. ar2 = fcz(x, y) = af D. ay2 = fyy(x,y) = E. af деду fyz(x, y) = af F. მყმz = fxy(x, y) = Note: You can earn partial credit on this problem.
Find all the second-order partial derivatives of the following function. w=3x sin (6x²y)
a. Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y, x = s + 2t − u, y = stu2; ∂z ∂s ∂z ∂t ∂z ∂u when s = 1, t = 2, u = 3 b. Use the Chain Rule to find the indicated partial derivatives. w = xy + yz + zx, x = r cos(θ), y = r sin(θ), z = rθ; ∂w ∂r ∂w ∂θ when r = 8, θ = pi/2 c. Use the...
Find all the first order partial derivatives for the following function. f(x,y) = (9x3y5 – 10) 2 of A. Of ox = 27x2y5; - 45x3y4 Oy of 54x2y5 (9x3y5 – 10); dy of B. = = 90x3y4 (9x3y5 – 10) ox C. of ox df 90x3y4(9x3y5 – 10); ду = 54x2y5 (9x3y5 – 10) of of D. = 2(9x3y5 – 10); = 2(9x3y5 – 10) Ox ду
u=x+yz, Use the Chain Rule to find the indicated partial derivatives. x = pr cos , y = pr sin , 2-р+г ди диди др Әr" әө when p = 1, т. 3, = 0 ди др І ди ar ди Ә0
Use the Chain Rule to find the indicated partial derivatives. u x+yz, х = pr cos , y - pr sin 0, 2-р+г au ди au when p = 1, г. 3, 0 = 0 др ar aө ди др III ди де Әu де 1
Find the first-order partial derivatives (fr. f,) and second-order partial derivatives (fxxıfyy, fxy, fyx) of the following functions. a. f(x,y)=x’y+x’y? +x+y? b. f(x, y) = (x + y)? Find the critical points at which the following function may be optimized and determine whether at these points the function is maximized, minimized or at a saddle point. z = 5x2 – 3y2 – 30x + 7y + 4xy
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...