Thursday

July 31, 2014

July 31, 2014

Posted by **W** on Tuesday, October 18, 2011 at 10:27pm.

- Calculus -
**Steve**, Wednesday, October 19, 2011 at 10:36amAs you said, 2y(dy/dx)-2x+2=0

So,

dy/dx = (2x-2)/2y = (x-1)/y

Noiw, just plug in the values:

y'(1) = (1-1)/(-2) = 0

Check y''

2yy'-2x+2=0

2(y')^{2}+ 2yy'' - 2 = 0

y'' = (2 - 2y'^{2})/2y = (1-y'^{2})/y = 1/-2

Since y'' < 0 when y' = 0, it's a maximum.

**Related Questions**

Calculus - Damon - Find the line which passes through the point (0, 1/4) and is ...

calculus - let f be the function f(x) = x^3 + 3x^2 - x + 2 a. the tangent to the...

calc. - I'm having a lot of trouble with this problem: Sketch the graph and show...

AP Calculus - Consider the curve given by x^2+4y^2=7+3xy a) Show that dy/dx=(3y-...

Calculus Part 2 - y = tan(sqrtx) Find dy/dx. So I found it and I got the answer ...

Calculus - If 3x^2-2y^2=4xy + 20, find the point(s) at which the graph from ...

Homework Help Calculus - Find the linear approximation L(x) to the function f(x...

calculus - Please help!! *f(x)= x(x+6)^1/2 find two x intercepts. Then show that...

calculus - Find the point on the graph of f(x)=√x that is closest to the ...

cal - Equations of the tangent lines to hyperbola xy=1 that pass through point...