Homework Help: calculus

Posted by Jane on Sunday, January 11, 2009 at 8:09pm.

Consider curve given by
x^2+ 4y^2= 7 + 3xy..

Three part question
A) show that dy/dx = 3y-2x/8y-3x

B) Show that there is a point P with
x-coordinate 3 at whiich the line tangent to the curve at P is horizontal. Find the y-coordinate of P.

C) find the value of d^2y/ dx^2 at the point p found in part (B)

calculus - bobpursley, Sunday, January 11, 2009 at 8:18pm
2x dx+8ydy=3ydx + 3xdy

solve for dy/dx

Then, take the next derivative.
for B), put x=3 into the original equation, find y. Then find the slope (dy/dx) at that point.

Answer this Question

Related Questions

AP Calculus - Consider the curve given by x^2+4y^2=7+3xy a) Show that dy/dx=(3y-...
Calculus - Find normals to the curve xy+2x-y=0 that are parallel to the line 2x+...
Calc, Implicit Differentiation - Regard y as independent variable and x as ...
Derive - Find the derivative of sin(2x + 3y)= 3xy + 5y-2. I have this so far 1) ...
Calculus - Hi, I'm having trouble using implicit differentiation to ...
To MathMate - Yep you are right, we are helping each other out... actually we ...
Calculus - The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) ...
calculus - If y is a differentiable function of x, then the slope of the tangent...
calculus help - implicit differentation 1.y^3=4(x^2+y^2) 2.y^2-3x+2y=0 help ...
Math, Calculus - help Please... Differential Equations Problems... please give ...

For Further Reading

First Name:
School Subject:
Answer: