Find the Partial Derivatives of the functions with respect to each variable1) Fx, у) —2х* -Зу-4Ans. f, = 4x, f, =-3%3D2) f(x,y)= (x² –1)Xy+2)Ans. f. = 2x(y +2), f, = x² –13) f(x, y) = (xy– 1)Ans. f, 3 2y(ху — 1), f, %32x(ху - 1)4) f(x, y) = Vx² + y?Ans. f. =yVx² +yVx² + y*

Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: Find the Partial Derivatives o 1) f(x,…

Math

Advanced Math

Find the Partial Derivatives o 1) f(x, y) = 2x² – 3y– 4

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Find all second-order partial derivatives. f(x, y) = 8ye2z²–7y a? f 32ye^(2x2-7y)4x2+1…

Q: Compute the first partial derivatives of the fol f(x.y) = 4 – tan 1 (3x?+2y?) -1(3x2 +2y)

A: f(x,y)=4-tan-1(3x2+2y2)partial differentiation w.r.t xfx=0-1(3x2+2y2)2(3×2x)…

Q: S (x, y)=x'y² - 4y°

Q: Find the first partial derivatives of the function (2x + 9y)'². = Z dz 1. дх dz 2. ду

A: To find the first partial derivatives of the function: z=(2x+9y)12 So, z is the function of x and y.

Q: The quadratic partial derivatives are continuous and fa (x, y) = x + y? and fy (a, y) = x – y meets…

A: We have to check whether the statement, "The quadratic partial derivative are continuous and…

Q: Find all the second partial derivatives. f(x, y) = x³y² + 6x^y fxx (x, y) = {xy(x, y) fyx(x, y) (xin…

A: We want to find second order partial derivatives.

Q: 1. Find the first and second partial derivatives (that is f, af, , , and ) of Əx' dy' dx², ay² »…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: Find the four second partial derivatives. z = y3 - 9xy2 - 2 %3D azz дхду дудх ay?

Q: Find all the second partial derivatives. f(x, y) = x^y – 2x5y² fxx(x, y) fxy(X, y) = fyx(x, y) =…

A: fx, y=x4y-2x5y2 Partially differentiating with respect to x, we get fxx, y=y·4x3-2y2·5x4=4x3y-10x4y2…

Q: Find both first partial derivatives. z = 12y?Vx %3D az %3D ax az ay II

Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 4x²y - 5xyz + 7yz?…

Q: Find all the second partial derivatives. F(x, y) = x6y – 2x³y² fxx(x, y) = fxy(x, y) fyx(x, y) %3D…

Q: Find the indicated partial derivatives. f(v, w, x, y) = 2v²w°r*y% %3D af fe of

A: Given that:fv, w, x, y=2v2w3x4y5

Q: Find the first partial derivatives of the function. f(x, у, 2) %3D хz — 7x8у^24 fx(x, Y, z) : %3D…

Q: Compute the partial derivative of the function * f(x, y, z)= el-roos(y) +2e=1/(1+²)

Q: Find the second partial derivatives. F(x, y) = x²e-4y2 fxa(x, y) = fxy(X, Y) = fylX, y) = m(x, v) =

Q: Find all the second-order partial derivatives of the function. r(x.y) = In (x + 3y) дудх дхду dy II

A: Given function is rx,y=lnx+3y Differentiate partially rx,y=lnx+3y with respect to x…

Q: Find the partial derivatives of the function -8x + 9y f(x, y) = -7x + 4y f=(x, y) = %3D fy(x, y) =|

Q: Find all second partial derivatives of the function f(x, y) = xy + x° + y at the point xo = (2,4). =…

A: Consider the case of a function of two variables, f(x,y) since both of the first order partial…

Q: Consider f(x, y, z) = 2x³ – 4y³ + 32³ – 7æ²y²z². Find all the first order partial derivatives fr,…

Q: Find all the second partial derivatives. x, V) = x^y% + 2x5y x, v) = II

Q: Find the first partial derivatives of the function. Rx, y) = x?y® + 5xdy fx, v) =

Q: compute the given partial derivatives. f(x, y) = sin(x² – y), fy(0, 7) у).

A: Compute the given partial derivative,f(x,y)=sin (x2-y)fy(0,π).

Q: Find the second partial derivatives of f(x,y) = x^2y^5 + 3y^2

Q: Find the all the 1st order partial derivatives of the function f(x, y,z)= Vx² +z-2 + sin

Q: Find all the second-order partial derivatives of the function. r(x.y) = In (2x + 3y) дудх дхду dy?

A: Given that r(x,y) = ln(2x+3y) We need to calculate all the second order partial derivatives. The…

Q: w = z²y – 10y²z³ + 43z – 7 tan(4y) %3D

A: Given that: w=x2y-10y2z3+43x-7tan4y To calculate the first order partial derivative with respect to…

Q: Find the partial derivatives of f(x, y) = 5x°y°. (a) fz(x,y) (b) fy(x,y) =[_ (c) f«(5, y) = (d)…

Q: Find the partial derivatives of the function -7x – 4y f(x, y) 8x – 5y f:(x,y) fy(x, y) =|

Q: Find the first partial derivatives of the function. f(x, y) = x5y fx(x, y) = fy(x, y) =

A: Given , f(x,y) = x5y fxx,y = 5y.x5y-1

Q: Use the Chain Rule to calculate the partial derivatives д(т, у) — sin (т? + у?), х— 4и — v, у — —…

A: Given g(x, y)=sin(x2+y2) ,x= 4u-v and y=-(2u+2v)

Q: Find the indicated partial derivatives: (a) fx(x, y) if f(x, y) = −3x^4 + 6y^2− 11 (b)fy(x, y) if…

Q: Find the first partial derivatives of the function. ах + by cx + dy f(x, у) fx(x, y) = fy(x, y)

Q: Find both first partial derivatives. f(x, у) %3D бх — 8y + 5 fx(x, y) = fy(x, y) =

Q: Find the Partial Derivatives of t 1) f(x,y) = 2x - 3y -4 2) S(x, y) = (x' -1Xy+ 2) 3) f(x, y) =…

Q: Find the first partial derivatives of the function. z = (7x + 8y)7 dz %3D dx %3D dy

Q: 2. Suppose that f (x,y) is a function so that f(x, 1) = e*- 3x + 2 f(0,y) = y2 +2y Find the partial…

A: We use the definition of partial derivatives to find the partial derivatives.

Q: Find the partial derivatives of f(x, y) = 5x°y². %3D (g) fz(1,2) (h) fy(1,2) =

Q: Solve for the indicated higher-order partial derivatives, fæx, fæy, fyy- · f(x, y) = Vx² + y?

Q: Compute the partial derivative: f(x, y) = sin (a- 6y) f,(0, T) =

Q: Find all the second order partial derivatives of g(x,y)3DX°Y+4 sin (y) + 2y cos (x). дудх dxdy

Q: Find the four second partial derivatives. z = y3 - 9xy2 - 2 a2z %3D a2z дхду -18y %3D a2z дудх -18…

Q: Find the partial derivatives of the function 3z - 8y f(r, y) -9z + 8y fz(x, y) fy(z, y)

Q: Find the partial derivatives of the function -lz + 2y 2 + 2y f(z, y) = S-(E, y) = fy(z,y) =

Q: Find the second order partial derivatives дхду of and дудх f(x,y)= 4x² + In x + e*** – cosy +9y +3.

Q: Find all the second-order partial derivatives of the function. r(x,y) = In (2x + 3y)

Q: Find all the partial derivatives of: f(x, y) = y7 In(x²) + 9y¬3 – Vx*.

Q: Find the first partial derivatives. g(x, y) = In(x6 + y6) %3D 9x(x, y) : gy(x, y)

Q: Show that the mixed partial derivatives fxyy, fyxy, and fyyx are equal. f(x, y, z) =…

A: Given : f(x,y,z)=e-xsin(yz)To find: fxyy=?, fyxy=?,…

Q: Find the first partial derivatives of the function. f(x, у) : cos(t5) dt fx(x, y) = fy(x, y) =

A: We use the leibniz derivative.

Question

Find the Partial Derivatives of the functions with respect to each variable
1) Fx, у) —2х* -Зу-4
Ans. f, = 4x, f, =-3
%3D
2) f(x,y)= (x² –1)Xy+2)
Ans. f. = 2x(y +2), f, = x² –1
3) f(x, y) = (xy– 1)
Ans. f, 3 2y(ху — 1), f, %32x(ху - 1)
4) f(x, y) = Vx² + y?
Ans. f. =
y
Vx² +y
Vx² + y*

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Partial Derivatives$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Find the partial derivatives fx (3,5) fy (3,5) for the function f(x,y)= y^2/x-y
Find the value of ∂z/∂x at the point (1, 1, 1) if the equation xy + z3x - 2yz = 0 defines z as a function of the two independent variables x and y and the partial derivative exists.
Consider a firm whose revenue is expressed through the function R(x,y)= 4x³y², where x and y represent the quantities of two goods produced. Suppose these quantities depend on capital k and labor in addition to good y still depend on the availability of material m. This occurs according to the functions x= 4k+ 3L and y = 3k + L+m. Calculate the partial derivatives of income in relation to capital, labor and availability as functions of such variables
. Show that it is possible to solve u and v from:xyu + xy2uv2 = 2 and x2yvu4 + yu3v2 = 2,in terms of x and y uniquely near the point (x, y, u, v) = (1, 1, 1, 1); also find the first four partial derivatives at the point (1, 1).
Find the value of 0z/0x at the point (1, 1, 1) if the equation xy + z3x - 2yz = 0 defines z as a function of the two independent variables x and y and the partial derivative exists.
Find the first partial derivatives of the function. f(x, y, z) = x7yz2+ 4yz
Find the first partial derivatives with respect to x, y, and z, and evaluate each at the given point. Function Point w = 3x2y − 7xyz + 10yz2 (3, 5, −4) wx(3, 5, −4) = wy(3, 5, −4) = wz(3, 5, −4) =
Find the first partial derivatives with respect to x,y, and z. (I only need number 1)
There is a function f(x,y)=3√x3 + y. a)Calculate the partial derivative f,x (x, y) at points different from the point [0, 0] in which it is defined.
How are the partial derivatives ∂ƒ/∂x and ∂ƒ/∂y of a function ƒ(x, y) defined? How are they interpreted and calculated?
Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 3x2y − 5xyz + 10yz2
Find all second-order partial derivatives for ƒ(x, y) = -4x3 - 3x2y3 + 2y2.