Set dx dy where

Q: Given U(x; y) = In(1+ xy³), show that 2! dxðy

A:

Q: dy at the poin dx

A:

Q: dy satisfies dx? 2 iven by

A:

Q: Find dy/dx if  y=(x+1)x

A:

Q: dy Find given 3xy = In x. %3D dx

A:

Q: -1 dy find dx If y = %3D (1-VE)

A:

Q: Find the cifferential dy of the given funddtion. (Use "cx" for dx.) y- dy

A:

Q: find dy/dx. y = cos x/x + x/cos x

A:

Q: Find S (x + In y) dydx

A:

Q: Js xng" dy dy

A: In general, the integral of a real valued function f(x) with respect to a real variable x on an…

Q: dy is : If x- y 0, then %3D dx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: dy +Zy =0 du

A: Given: dydx+2y=0   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where 'a' is the constant.…

Q: (a) Let I = dx. Show that I² = dx dy. R2

A: Note: "Since you have asked multiple questions, we will solve the first question for you. If you…

Q: dy Yo Calculate dx

A:

Q: Find dy/dx given that 10x = xe* +y %3D

A:

Q: If æ? + y? = 25 and dy/dt = 6, find %3D dæ /dt =

A:

Q: g=ズ, a find dy dx %3D

A:

Q: Evaluate dz dy dx. o y+z

A: First calculate integral with respect to z then respect to y then respect to z

Q: find dy dx %3D

A:

Q: is xZ dz dx dy

A:

Q: Prove that d /dx ( cot -1 x) = - 1/ ( 1+ x 2 )

A: we have to prove that: ddx(cot-1x)=-11+x2

Q: find dy/dx ,y= cosx

A:

Q: Evaluate [y cos (3y) dy

A: We use integration by parts continuously. ∫f(y)g(y)dy =f(y)∫g(y)dy  - ∫df(y)dy(∫g(y)dy )dy Also note…

Q: then show that dz+z = % dy e te

A: Given:z=ex+yex+eyDifferentiation formula:ddxuv=v.dudx-u.dvdxv2

Q: z sin a dy dæ dz

A: The question is taken from the calculus inwhich we have to find the triple integration of the given…

Q: find dy/dx. y = x2 cos x

A: Here given function as Use the product rule of derivative

Q: rc)

A:

Q: dy If y = (In x) (sin x), then dx

A: y=ln x(sin x) To find dydx

Q: -6, find dy dx Given that y = ln

A:

Q: ) dx dy is

A:

Q: Given that y=ax , find dy/dx

A: To find the derivative of the given function

Q: Find dy if y = (1 – x*)* dx

A:

Q: FS

A:

Q: dy if x = In(csc y +c dx Calculate

A:

Q: Determine the of : In (xy²) = x y dx

A: Derivative dydx of equation  lnxy2=xy

Q: dy (a) Find if y = (In x)=². dx

A: For (a), dydx=lnxx2'       =ex2lnlnx'        =ex2lnlnxx2lnlnx'        =ex2lnlnx2xlnlnx+xlnx…

Q: dy Inx Find if y = .2 dx

A:

Q: dy zsin(x) dz

A:

Q: dy Find if y = In|9 + x|. dx

A:

Q: Find dy/dx, given that xy^3 -3y^2 +xy=1-3x

A: The main objective to calculate the derivative of the function xy3-3y2+xy=1-3x.

Q: | Find dy/dx if y = e*+x).

A: Given,          y=ex+x2

Q: dy 38. dt у сost

A: Given Information: The differential equation is dydt=ycost. Calculation: Calculate the general…

Q: dx dy If L = Va? + y?, = -5, and dt = 2, find dt dL when a = 3 and y = 7. dt %3D dL dt

A: Given query is the derivative of L over t at x = 3 and y = 7.

Q: Find dy/dx: 1. у%3D Jo = San* sec? t dt

A: A detailed solution is given below

Q: Find 1. Sy stn-'y dy

A:

Q: S 6 ttan t dt = %3D dx Jx

A:

Q: dy when x=Ve is dx

A:

Q: dy If y = e" In(u) and u = V1-x2, Find dx

A: y = eu ln(u)       and   u = 1-x2 dydx = ?