joannedoncaster
joannedoncaster joannedoncaster
  • 02-10-2017
  • Mathematics
contestada

Regard y as the independent variable and x as the dependent variable and use implicit differentiation to find dx/dy. x3y2 − x4y + 4xy3 = 0

Respuesta :

jdoe0001 jdoe0001
  • 02-10-2017
[tex]\bf x^3y^2-x^4y=4xy^3=0\\\\ -------------------------------\\\\ \left( 3x^2y^2+x^32y\frac{dy}{dx} \right)-\left( 4x^3y+x^4\frac{dy}{dx} \right)+4\left( 1\cdot y^3+x3y^2\frac{dy}{dx} \right)=0 \\\\\\ 2x^3y\frac{dy}{dx}-x^4\frac{dy}{dx}+12xy^2\frac{dy}{dx}=4x^3y-3x^2y^2-4y^3 \\\\\\ \cfrac{dy}{dx}\left( 2x^3y-x^4+12xy^2 \right)=4x^3y-3x^2y^2-4y^3 \\\\\\ \cfrac{dy}{dx}=\cfrac{4x^3y-3x^2y^2-4y^3}{2x^3y-x^4+12xy^2}[/tex]
Answer Link

Otras preguntas

I need help for this question please
Find X, Y, and Z if (3•5)^4 • (2•3)^5 • (2•5)^7 = 2^x • 3^y • 5^z! Need this ASAP!!!
(PLEASE HELP) Solve 10 = 5m/4
Brenda is a college student suffering from bulimia nervosa. When her roommate is at class, Brenda regularly binges on large quantities of food, sometimes up to
1. How did Western explorers infer that other people lived on Easter Island?
the startup routine runs,when machine boots up is known as​
8 was multiplied by a particular number. this product was then added to 12, then divided by 4. the resulting quotient was -25. give the initial number. please s
Federalism definition
some on please help If 2000 people visited the museum during the month, how many visitors were there for 65 and over?
Daily Language Practice Monday Week 19 Set 1 1. Circle the sentence that has the words in the correct order. . She starts a new school today. A new starts she s