Posted by **Abi** on Thursday, March 17, 2011 at 1:32am.

Find the slope of the tangent line to the ellipse x^2/36 + y^2/49 =1 at the point (x,y).

slope =_______

Are there any points where the slope is not defined? (Enter them as comma-separated ordered-pairs, e.g., (1,3), (-2,5). Enter none if there are no such points.)

slope is undefined at____

Please help..

- Calculus -
**drwls**, Thursday, March 17, 2011 at 2:52am
Use implicit differentiation, by differentiating each side of the equation with respect to x.

x/18 + (2y/49)*dy/dx = 0

dy/dx = -(49/2)(x/18y)

= -(49/36)(x/y)

The slope is undefined where y = 0, which is where x = +/- 6:

(-6,0) and (6,0)

## Answer This Question

## Related Questions

- Calculus - slope of tan line to the ellipse is -4x/y for x^(2)/4+y^(2)/16 Are ...
- slope - Find the slope of the line passing through the given points using the ...
- Calculus - There are two neighboring points P and Q on the curve f(x)=x^2 (a) ...
- Physics - can someone help i'm stuck on two questions??? 23. On a velocity-time ...
- Calculus - I have a two part question that pertains to a curve (r(x)) and its ...
- math - i have more than one question so if u no any of the answers please tell ...
- Calculus - Find equations of both the tangent lines to the ellipse x^2 + 4y^2 = ...
- calculus 1 - The point P(2,-1) lies on the curve y=1/(1-x) If Q is the point (x...
- College Calculus - Let f(x) = 3x^2 - 2x + 1 a) write an equation of the line ...
- calculus - To find the equation of a line, we need the slope of the line and a ...

More Related Questions