Ask a New Question

Question

implicit differentation
1.y^3=4(x^2+y^2)
2.y^2-3x+2y=0

help please

You consider y to be a function of x, but you don't explicitely solve for it. Then you formally differentiate w.r.t. x using the chain rule:

y^3(x) = 4(x^2+y^2(x)) --->

3y^2dy/dx = 8x + 8y dy/dx


y^2-3x+2y=0 --->

2ydy/dx - 3+2dy/dx = 0








18 years ago

Answers

Related Questions

How do you us implicit differentiation to solve x( y + 2 )^5 = 8 x( y + 2 )^5 = 8 ( y + 2 )^5 d... Use implicit differentiation to find the slope of the tangent line to the curve y/(x+7y)=x^5+7 at th... I took the Implicit Association Test to measure prejudice. What other test does sociologist use to m... I do not understand implicit differentiation. One of the problems are: find y' by implicit differen... Use implicit differentiation to find the equation of the tangent line to the curve xy3+xy=14 at the... use implicit differentiation to find dy/dx and then d^2y/dx^2 x^2/3 + y^2/3 = 1 implicit differentiate this equation in terms of y x^2y^2=(y+1)^2(4-y^2) 7y^4+x^3y+x=4 using implicit differentation, how do i solve this problem. it is a textbook exampl... Please help. I have an implicit answer to a differential equation of 18y*sqrt(y)=(2(x^2-6x+23)^3/2)/... (x/y)-x^2 =1 implicit ?
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use