# Calc

posted by .

find d^2y/dx^2 of x^2/3 + y^2/3 =1
(implicit differentiation)

• Calc -

Differentiate both sides with respect to x, with y considered a function of x.

(2/3)/x^1/3 + [(2/3)/y^1/3] dy/dx = 0
dy/dx = -[y/x]^1/3

Then do it again.

d^2/dx^2 = .......

## Similar Questions

1. ### Math - Calculus Question.

hey can someone explain to me the relationship between the chain rule and implicit differentiation?
2. ### Calculus 1 - implicit differentiation

I do not understand implicit differentiation. One of the problems are: find y' by implicit differentiation xy+2x+3x^2=4. I would appreciate any help that can be offered.
3. ### Calculus 1 - implicit differentiation

I do not understand implicit differentiation. One of the problems are: find y' by implicit differentiation xy+2x+3x^2=4. I would appreciate any help that can be offered.
4. ### Calc

Use implicit differentiation to find dy/dx. ln xy + 5x = 30
5. ### Implicit Differentiation

Use implicit differentiation to find the slope of the tangent line to the curve y/x+6y=x^2–6 at the point (1,–5/31) . Again i think i'm messing up with the algebra here. I used quotient rule to get [(x+6y)(y')-(y)(1+6y')]/(x+6y)^2=2x …
6. ### Calculus

How do you use imlicit differentiation to differentiate e^(xy)?
7. ### Implicit differentiation calculus

PLEASE HELP , I DON'T UNDERSTAND find dy/dx by implicit differentiation a) xy + x^5y^2 + 3x^3 - 4 = 1 b) lny = cos x thank you
8. ### Calc

if 2x^2+2x+ x = 2y and y(2)=-5 find y'(2) by implicit differentiation