4. (5 points) (a): Find all second partial derivatives of f(x, y) = re-2ry, (b): Find...
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=
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...
1. Find the first and second partial derivatives: A. z=f(x,y) = x2y3 - 4x2 + x2y-20 B. z=f(x,y) = x+ y - 4x2 + x2y-20 2. Find w w w x2 - 4x-z-5xw + 6xyz2 + wx - wz+4 = 0 Given the surface F(x,y) = 3x2 - y2 + z2 = 0 3. Find an equation of the plane tangent to the surface at the point (-1,2,1) a. Find the gradient VF(x,y) b. Find an equation of the plane...
(10 points) Find all first and second partial derivatives of f(x,y) = 24 – 3.z”y2 + y* [Note: By Theorem 13.3 on page 913 of the textbook, it should be that fry = fyr:]
3. Find all second partial derivatives of f(x,y) = ry - 3ry2 + 2y2,2 4. Find and sketch the domain of f(x,y) = . In (?-?-1)
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 second order partial derivatives of f(x, y) = (x² +3y)
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 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 all first partial derivatives f(x,y)= 5x^3+4y-3 Find all first partial derivatives. f(x, y) = 5x3 + 4y - 3 f(x,y) = f(x,y) =