2. Determine the first order partial derivatives for each of the following functions. i) Q = 10Kº5L0.6 ii) C = 200 + 10X¡² + 2X¡X2 + 3X2² %3D

Q: Find the first partial derivatives of the function. w = In(x + 4y + 8z) Əw ax aw ду aw II II II

A: Given, w= ln(x+4y+8z)

Q: Evaluate the indicated partial derivatives. 2 = 9r*y – 3r*y az az dy

A: We know that, The Power law: ddxxn=nxn-1   Given: z=9x2y-3x5y

Q: Find all second-order partial derivatives for the following. 4.6 R(x,y) = 5x - 2x y° + 6x°y7 %3D 3.7…

A: Partial differentiation means , when we differentiates a function of more than two variables then we…

Q: Find all second-order partial derivatives for the following.

A: Find all second-order partial derivatives for the following. k(x,y)=-7x2x+3y We  first find the…

Q: Find all second-order partial derivatives for the following. z = 7ye6x

A: Given that z=7ye6x. Obtain first partial derivative. ∂z∂x=7ye6x'=42ye6x∂z∂y=7ye6x'=7e6x

Q: u+ 2v 4] = 1+ vw; w, and vw. w

A:

Q: Find all the second-order partial derivatives of the following function. f(x.y) = x®y² - x7 + y®…

A:

Q: Evaluate the indicated partial derivatives. f (x, y) = x°ye"y af -(3,3): af (3,3) ду

A:

Q: compute the first-order partial derivatives. z = x2 + y2

A: Explanation: Given that,  z=x2+y2     Concept used: Here we treat y as a constant. Sum and…

Q: Evaluate the indicated partial derivatives. f (x, y) = 3x°ye*y af (1,1) = fe (1,1) =

A: We have to solve the problem by doing the partial derivative.

Q: Compute the first-order partial derivatives. z = x^2 + y^2

A:

Q: compute the first-order partial derivatives. z = 9 − x2 − y2

A: z=9-x2-y2

Q: Find the following higher order partial derivatives. x3+y2+z2=5 (A)   ∂2z/∂x∂y= (B)   ∂2z/∂x2=…

A: Given that      x3+y2+z2=5→           i       differentiatting partially w.r.t 'x' we get…

Q: Calculate the second-order partial derivatives off (x, y) = x3 + y2ex.

A:

Q: Find all the second-order partial derivatives of the following function. 4x - 4y W = x² + 3y

A:

Q: Find all second-order partial derivatives for the following. ƒ(x, y) = 3x2 + 8y + 5x2y2

A: fx, y=3x2+8y+5x2y2 Partially differentiating with respect to x, we get fxx, y=32x+0+5y2·2x=6x+10xy2…

Q: Calculate all four second-order partial derivatives for f(x, y) = 13x^3+6x^2 y^4

A:

Q: Find all the​ second-order partial derivatives of the function f(x,y)=4x2+7y+9x2y2

A:

Q: Find all second-order partial derivatives for the following. R(x,y) = 4x- 2x°y° +5x*y" Ryy Rxy Ryx

A:

Q: Find all the second-order partial derivatives of the following function. 2х - 4y x2 + 2y dy?

A:

Q: b) F\«,y)= og(3x - 2y° + y)

A:

Q: compute the first-order partial derivatives.  z = e−x2−y2

A: Given,z = e−x2−y2We have to evaluate ∂z∂x and ∂z∂y

Q: 16) Compute the first and second-order partial derivatives for f(x, y) = x²y³ + x + y² − 3

A:

Q: a) 4x²y - 3xy³ + 6x; d) e²x+3y; b) xy; e) x+y x-y c) xy²; f) 3x²y-7x√y.

A:

Q: Find all the second-order partial derivatives of the following function. f(x,y) = x³y²-x² + y² 2 ax…

A:

Q: (4) Let f(x, y) = xy² +2. Find all first-order and second-order partial derivatives.

A:

Q: Find all second-order partial derivatives of the function f(x,y) = x + xy – 5x³ + In(x² + 1).

A:

Q: compute the given partial derivatives. f (x, y) = 3x2y + 4x3y2 − 7xy5, fx (1, 2)

A: Given, fx,y=3x2y+4x3y2-7xy5, fx1,2.   The objective is to determine the partial derivatives fx of…

Q: compute the first-order partial derivatives. z = x /x2 + y2

A: For a function in several variables partial derivative with respect to one variable is calculated by…

Q: Calculate all four second-order partial derivatives of f(x,y) = 5x^2(y) + 3xy^3

A:

Q: fx (partial derivatives)

A: We can solve this problem by using complete derivative .

Q: Find the partial derivatives with respect to x of the function xy^2 -5y+6. * O y^2 - 5 O y^2 O xy-5y…

A: We have to find partial derivative with respect to x. Let, f(x,y)=xy2-5y+6

Q: Confirm that the mixed second-order partial derivatives of f are the same. f (x, y) = 9x² – 9xy* +…

A: Please refer the attached image for complete solution.

Q: Find all the second-order partial derivatives of the following function h(x,y) = 2xey + 7y +1

A: Partial Differentiation

Q: Evaluate the indicated partial derivatives. z = 7x°y – 4r'y dz dz fie

A: Use partial fraction

Q: Find the indicated partial derivatives. af ди af дw af Эх af ду || = = = f(v, w, x, y) =…

A:

Q: Find all the second-order partial derivatives of the following function. 5 3 9 f(x.y) = x°y -x +y 7…

A: Given :f(x,y)=x5y3-x9+y7

Q: Find all the​ second-order partial derivatives of the function f(x,y)=8x^2+7y+6x^2y^2.

A: While calculating the partial derivative with respect to x treat y is a constant. Similarly for…

Q: Find the four second-order partial derivatives. 8 f(x,у) 3 5x° у - 4ху + 8y ,6. fx (x,y) = 280x°y…

A: Solution:

Q: Find the first partial derivatives of the given functions. 1. z = x3 – xy? +3y² 2. z = 3x?y - y3 +…

A:

Q: Find the first partial derivatives and evaluate at the given point. Function Point f(x, у) 3 х4 —…

A: • For finding partial derivative of f w.r.t x, we treat y as a constant and for partial derivative…

Q: Find all the second-order partial derivatives of the following function. h(x.y) = 2x e +y +4

A:

Q: Find the four second partial derivatives of the following function. f(x.y) = In (5x? + 2y² +6) Txx

A: Given function is fx,y=ln5x2+2y2+6 Differentiate fx,y=ln5x2+2y2+6 partially with respect to x…

Q: Find all first and second partial derivatives for each of the following functions: (а) z%3D Зx2 +…

A:

Q: Compute the partial derivatives of f(x, y) = x 2y5.

A: given function as fx, y=x2y5

Q: 7.5 Find the four second-order partial derivatives for f(x, y) = 3x*y® + 8x°y$. "yx

A:

Q: 5.6 Find the four second-order partial derivatives for f(x, y) = 7x°y® + 3x®y7. fyx %3D

A: We have to find four second order partial derivative of fx,y=7x5y6+3x8y7

Q: Find the four second partial derivatives of the following function. 3 5 h(x.y) =x +xy +4

A:

Q: Find all second-order partial derivatives for the following. R(x,y) = 5x" - 2x*y° + 6x°y' 4.6 5.7…

A: We need to find out all second order partial derivatives

Q: Find all the second-order partial derivatives of the following function. 2x-4y x2 +2y %D dx2

A: