# differential calculus

posted by .

find the implicit function of x^3+3^y=3xy

• differential calculus -

Not sure if you can solve it explicitly. A 3-d plot is possible with most graphics software. The solution curve is given by the contour x^3+3^y-3xy=0.
See for example:
http://imageshack.us/photo/my-images/163/1313500261.png/

• differential calculus -

examine this closely.

3x^2 dx+3^y * ln3*dy=3y dx + 3x dy

dy/dx= 3(y-x^2) / (ln3*3^y -3x)

check my algebra, I gathered terms in my head.

## Similar Questions

1. ### Math - Calculus Question.

hey can someone explain to me the relationship between the chain rule and implicit differentiation?
2. ### calculus differential equation

Find in implicit form the general solution of differential equation dy/dx=2(e^x-e^-x)/y^2(e^x+e^-x)^4 with (y>0). I know this requires a seperation of variables but I beyond that I am confused by how.Thanks.
3. ### calculus differential equation

Find in implicit form the general solution of differential equation dy/dx=2(e^x-e^-x)/y^2(e^x+e^-x)^4 with (y>0). I know this requires a seperation of variables but I beyond that I am confused by how.Thanks.
4. ### Calculus AP

implicit differentiation Find the slope of the tangent line to the curve xy^3 + 2y - 0.76 =0 at the point (-3, o.7) I'm lost. so 3xy^2 * y' + 2y = 0 right?
5. ### calculus

find implicit derivative of 2y^2 - x^2 = 3xy + 5
6. ### Differential Equations

in this problem we consider an equation in differential form M dx+N dy=0 (2y-2xy^2)dx+(2x-2x^2y)dy=0 give implicit general solutions to the differential equation. F(x,y)=
7. ### Differential calculus with analytic geometry

use implicit differentiation to find dy/dx. xy^2+4y^3=x-2y
8. ### Differential Calculus

Write the equation of lines tangent and normal to the following function at (0, π). To find derivative, use implicit differentiation. x^2cos^y - siny = 0
9. ### re: Differential Calculus

Write the equation of lines tangent and normal to the following function at (0, π). To find derivative, use implicit differentiation. x^2cos^2y - siny = 0 Note: I forgot the ^2 for cos on the previous question. Sorry.
10. ### calculus

Use implicit differentiation to find an equation of the tangent line to the curve 3xy^3+4xy=63 at the point (9,1)(9,1).

More Similar Questions