Math

posted by .

Use implicit differentiation to dind dy/dx

lny - x ln x = -1

• Math -

(dy/dx)/y - x(1/x) - lnx = 0
(dy/dx)/y = 1 + lnx
dy/dx = y(1 + lnx) or y + ylnx

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. calculus; implicit differentiation

Use implicit differentiation to find the slope of the tangent line to the curve at the point (4,1) -1x^2 - 4xy + 3y^3 = -29 I differentiated both sides and solved for dy/dx and got 2x-4y/9y^2-4x. Then I plugged in X and Y and got -4/7 …
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)?