Posted by **lily** on Friday, March 2, 2012 at 10:10pm.

Use implicit differentiation to find the slope of the tangent line to the curve XY^3 + XY = 5 at the point (3,2) .

- Calculus ap -
**bobpursley**, Friday, March 2, 2012 at 10:13pm
3Y^2 x dy+ Y^3 dx+ x dy+ y dx=0

dy(3xy^2+x)=-dx(y+y^3)

dy/dx= slope= -(y^3+y)/(3xy^2+x)

put in the x,y and solve.

check my work, I did it in a hurry.

- Calculus ap -
**LILY**, Friday, March 2, 2012 at 10:49pm
i got the answer right thanks

## Answer This Question

## Related Questions

- Calculus - (y/(x+9y))= (x^2)-7 at the point (1, -6/55) Use implicit ...
- calculus - Use implicit differentiation to find the slope of the tangent line to...
- Calculus - Use implicit differentiation to find the slope of the tangent line to...
- Math (Calculus) - Use implicit differentiation to find the slope of the tangent ...
- Math (Implicit Differention) - use implicit differentiation to find the slope of...
- Calculus Please help! - Use implicit differentiation to find the slope of the ...
- calculus; implicit differentiation - Use implicit differentiation to find the ...
- Implicit Differentiation - Use implicit differentiation to find the slope of the...
- Calculus - Use implicit differentiation to find the slope of the tangent line to...
- Math - Use implicit differentiation to find the slope of the tangent line to ...

More Related Questions