nicha67 nicha67
  • 02-01-2021
  • Mathematics
contestada

A2. Find y' and y" for y^2 = x^2
+ sinxy

Respuesta :

cwrw238 cwrw238
  • 02-01-2021

Answer:

y'   = (2x + y cosxy)/(2y + x cosxy)

Step-by-step explanation:

Using implicit differentiation:

y^2 = x^2 + sin xy

2y y' = 2x + cos xy  * (xy' + y)

2y y' = 2x + xy' cos xy + y cos xy

2y y' - xy' cosxy = 2x + ycos xy

y'   = (2x + y cosxy)/(2y - x cosxy)

Answer Link

Otras preguntas

What is the electron configuration of helium
Explain why the current is reduced as electrons move through a conductor.
what are two human uses for mosses?
If x^5y^4z^2 <0 , which of the following must be true? I xy <0 II yz <0 III xz <0
how are the themes and topics different
What is the solution to this system of linear equations: y-x=4 and y+2x=1 1) (-1,3) 2) (0,4) 3) (1,-1) 4) (-3,3)
How do you do this algebra question
The sum of a number and 18 times its reciprocal is 11. Find the number(s). Let x represent the unknown number. The Reciprocal of x is____?
how to write an equation and solve it for the followingOne fifth of the employees of Delta Industries, Inc., work in the Sotheastern region. If the company empl
What is the solution to this system of linear equations: y-x=4 and y+2x=1 1) (-1,3) 2) (0,4) 3) (1,-1) 4) (-3,3)