Find all the second partial derivatives. X x+y Z= O A. O B. C. D. 2²z ax² 8z ax² 2²z ax² 8²₂ ax² = 2²z 2²27 y 2z X х-у (x+y)³¹ ay² (x+y)³¹ dydx axdy (x+y)³ 2y 8²z 2x 2²₂ 2²₂ y-x (x+y)³¹ ay² (x+y)³¹ dydx axdy (x+y)³ = = zz 2y (x+y)³(x+y)³¹ ay² = 2y 2²z 2x 2²₂ 2²₂ x-y (x+y)³¹ ay² (x+y)³¹ dydx axdy (x+y)³ = = = 2²z 2²z 2x x-y (x + y)²³¹ Əydx axdy (x+y)³ = =

Q: 2. If f(w, x, y) = (6w+1) cos(3x²+ 4xy³ + y), find the partial derivatives fw, fx, and fy.

A: Partial differentiation

Q: fx=å (3in (x*ry)-x2) %3D fy = Ly(31n (x*+y)-x2) %3D d fe-(3in (x*ry)-x2)

A:

Q: Find both first partial derivatives. z = In(x) дz ?х дz ду

A:

Q: 2. Find the second-order partial derivatives faxx, fxy, fyy of the function. 2 f(x, y) =…

A: fxx​=12x2+2y2fxy​=4xyfyy​=2x2+20y3

Q: Find the first partial derivatives of the function. w = In(x + 9y + 8z)

A: Given that the functionw=ln(x+9y+8z) we have to find the first order partial derivative of the given…

Q: Find all the first order partial derivatives for the following function. f(x, y) = 9x - 5y2 - 3 . -…

A: The function is given by fx, y = 9x-5y2-3 To determine: The expression of ∂f∂x and ∂f∂y

Q: Find all the second order partial derivatives of the given function. f(x, y) = x² + y - ex+y 2²2 23…

A: f(x,y)=x2+y-ex+ywe know (i) ∂ ∂x(xn)=nxn-1(ii) ∂ ∂x(constnat)=0(iii)  ∂ ∂x(ex)=ex

Q: Find the first partial derivatives of the function w = 5zexyz. 1. 2. 3. дw дх дw ду дw дz 5xzyz .…

A: Given: w=5zexyz. To be find: ∂w∂x, ∂w∂y and ∂w∂z. Formulas used:…

Q: Find the first partial derivatives with respect to x, y, and z. 3xz x+y aw əx Əw ?у Əw əz || W = (No…

A: This question can be solved using the concept of partial derivatives.

Q: Use the chain rule to find the partial derivatives for and av z = coS x siny , x =u – v , y = u²…

A:

Q: Find all the first and second order partial derivatives of f(x, y) = -7 sin(2x+y)+5 cos(x - y). af…

A: See the details solution in below