Find the different partial derivatives of the following function and remember to show your work for every part: (2) f(x, y, z) = x²yz* + el: af 1. 2. af 3. Jz 4. 5. 6. ||

Q: Find indicated nh order partial derivative: ap+qu 2. if u= (x – xo)P(y- yo)ª %3D

A: We will find the required partial derivative as following.

Q: The equation of then tangent line to y?e2* = 3y + x2 at (0,3) is y= – 6x + 3 A) True B) False

A:

Q: Determine the second-order partial derivative for the indicated function f(c,y) = cos(2x² – 3y?)…

A: Partial derivative of a function g(x,y) with respect to x is the derivative of g(x,y) keeping y…

Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

A:

Q: 8u F(u,v,w) = v+ 7w 8 Fu = v+ 7w

A: See the details solution in below

Q: Find y as a function of x if x²y" +5xy - 12y = x², y(1) = −9, y(1) = 9. y=

A: We have to find as a function of .

Q: Explain in a sentence what the partial derivative of f with respect to x represents in the context…

A:

Q: Please only compute this: Fxy  What is the sign of the partial derivative? (Positive, negative,…

A:

Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

A:

Q: Let w(z, y, z) = 1 + y² + z?, where z = 3', y = Int, and z = = et. Find I using the Chain Rule.

A:

Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

A:

Q: Find fyx for f(x,y)=exln(y)

A: Given : fx,y = exlny

Q: O Find the value dz at the point (4,-1,-3) dz if 2. lnx -x +4 = 0 + y. function of he two…

A:

Q: Find the partial derivatives of the function with respect to each variable.

A:

Q: The total derivative of f(x,y )=3 x+ 3 y-41n y is

A: Given function is fx,y=3x3+3y2-4 ln y find the total derivative  dz=fxx,ydx+fyx,ydy

Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

A:

Q: (4xy) w = 3 sin (4xy tan (z) +4 In (5yz)- 8 e

A:

Q: ind the derivative of the function f(x,y) = x +xy + y at the point (5,6) in the direction O A. - 545…

A:

Q: Find y as a function of a if y(1)=2, y(1) = 1. y = r²y" + 7xy +9y = 25,

A:

Q: Let f Cx, yJ=N8,?+y° Find fx Co,0)

A: