Differentiate the function. z(y) = A/y12+Bey

Q: F(X) = x,3+x,3 – 3x,x2

A: Given:- F(x) = X1 + X2  -3 X1 X2  TO FIND:- Classify all stationary points

Q: I) Consider the function: y = + C,e2x + C,e-5x + Czxe-5x

A:

Q: find all possible functions with the givenderivative. y' = x3

A:

Q: find all possible functions with the givenderivative. y' = √θ

A: We first separate the variables

Q: y = e2=²-x %3D

A: Solve the differential

Q: Determine an approximate solution of the equation z3 + 3xyz? – 5x²y²z+ 14 = 0 for z near 2, as a…

A: To determine : an approximate solution of the equation               z3+3xyz2-5x2y2z+14=0 for z near…

Q: Differentiate the function with respect to y. A Z = + Bey уб Z' + Bey = 8A 9 y 20 -

A: In this question we have to differentiate the function with respect to y.

Q: d (x+;

A: Here we use chain rule of differenciation.

Q: Determine and distinguish the stationary values of the function f(x, y} = x² – 6x² – 8y². -

A: We need to find the stationary value of f(x,y)=x3-6x2-8y2   For that first we need to find the value…

Q: : Express the function f (x) = e") to the form u(x,y) + iv(x,y).

A:

Q: of of For the function f(x,y)% 9x2- 3y°-4, find and dx dy of II

A: While calculating the partial differentiation of a function with respect to X we consider the other…

Q: Find the linearization L(x) of the function at a. f(x) = Væ, a = -8 L(x) =

A: Consider the given information. fx=x3,a=-8 The linearization of the function is defined as,…

Q: Find the first and second derivatives of the function. h(w) = (w² + 2w + 3)5/2 h'(w) = (5w + 5)(w² +…

A:

Q: Differentiate the function. y = In(|5 + t - t31) y' = ||

A: Given query is to find the derivative of the expression.

Q: Differentiate the function. y = In(16 + t – P) %3D y' = 1– 3r² 372 6 +t-t -- 6 + t- r 2 6+t-t

A:

Q: f(x, y) = x² – y²

A: f(x,y) = x2 - y2 Let us firstly find the first order partial derivatives of the given function.…

Q: Find the domain and range of the function f(x, y) = exy

A: Given information: The function fx,y=exy

Q: find all possible functions with the givenderivative. y' = 2x

A: According to the question, we have to find all possible functions with the given derivative y'=2x.…

Q: f(x, y) = 4x² – y²

A:

Q: B1. Verify fy = fx for the function f(x,y) = ln(2x- 3y). %3D xy

A:

Q: Differentiate the function. f(z) = ez/(z-8)

A:

Q: Differentiate the function. y=In(x²+e' y=In(x²+ean x)

A:

Q: Differentiate the function y=xcosx  and y=(x+1)e2x.

A:

Q: d y is a function of tin

A:

Q: Find the domain and range of the function z = xy /(x + y)

A: Solution:- The given function is  f(x,y)=z=xy(x+y) ⇒f(x,y)=xy(x+y) domain  is the all the input…

Q: d²y 2. Determine of the function y = dx2 x²cos (x)

A:

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: Find R of the function Y = f(x) = vx %3D

A:

Q: Show that the function f(1) = (e¯1 + 1)¯' satisfies y' + y² = y, y(0) = }.

A: To prove: ft=e-t+1-1 is a solution of given differential equation y'+y2=y.

Q: find all possible functions with the givenderivative. y' = x2

A: Given function  y'=x2 That is dydx=x2dy=x2dx

Q: Determine the stationary values of the function z = x3 – 6x² – 8y² and distinguish between them

A:

Q: Determine whether z is a function of x and y. z + x ln y − 8yz = 0

A:

Q: Find f, for the function f (x, y) = yx-2z'y %3D

A: we have to partially derivative

Q: Give an example of a linear function f(x)= mx + b, with m,b ±0 and an interval a<xsc where f(x)dx=0…

A:

Q: Find all local extrema for the function f(x,y) = - 6x - 9xy - 4y + 72x+54y+ 6.

A:

Q: Find all the stationary points of the function f(x,y) = x3e-(x^2+y^2).

A: Given:

Q: В. Find az if z = f(x, y) is implicitly defined as a function of x and y for the equation below…

A:

Q: find the specific function values ƒ(x, y) = x2 + xy3 a. ƒ(0, 0) b. ƒ(2, 3)

A:

Q: Differentiate the function. y = In(e-X + xe¬X) y' = II

A:

Q: J 3(x)is even function

A: Bessel Function The property of Bessel function says that- (1) Jnx is an even function when n is…

Q: Differentiate the function. y = In(12 + t – t³1) y' =

A: Here we differentiate the y with respect to t

Q: Differentiate the function with respect to y. A Z = + Bey z' = уб 6

A: Given is the function  z=Ay6+Bey Differentiate the function with respect to y and with respect to t…

Q: Differentiate the function P = 5t³ + 4e'. dP dt

A: GIVEN: P = 5t3 + 4et TO FIND: dPdt

Q: y? For function f (x, y) x2+1 Starting from the point (1, 2), at which direction does the above…

A:

Q: Find the largest domain (in R²) for the function 1+ Vx + Vy x² + y? f(x, y) =

A: The domain are those values of x,y; such that f(x,y) is well defined. Well defined means that the…

Q: For which values of a e R is the function ++(). f(a + iy) = (a²z - ary) + i + ay an entire function?

A:

Q: (d) Calculate the coordinates of the stationary points of the function z(x,y) = x³ – y³ – xy + 6.

A: We have to find the stationary points i.e., the critical points of the function zx,y=x3-y3-xy+6.…

Q: Find the domain of the function flx, yl= %3D

A: Explanation is given below...

Q: 4. Differentiate the function. y = x*

A: Given : y=xx