Find The Equation of the tangent to the curve :
x^2+y^2=25 at x=3

Question

Find The Equation of the tangent to the curve :
x^2+y^2=25 at x=3

anonymous · Answer

Come on, what's the problem with this one?

anonymous · Answer

lol,dude ..i want only to check the answers of these questions ,i know their answers all :)

experimentx · Answer

m = -x/y
x=3, y=+-4

use slope point formula
you will have two tangents

anonymous · Answer

he want the equation ,and i think it has only one equation for one tangent !!!

experimentx · Answer

|dw:1334265740907:dw|

anonymous · Answer

that at x =3 only ,right ?

anonymous · Answer

agreed but usually we're only concerned with the positive half of the circle so we can still remain under the pretense that this is operating as a true function (i.e. passes the verticle line test)

anonymous · Answer

ha i just realized that I posted the integral instead of the derivative, my bad guys. take the derivative in terms of x and then plug 3 in for x and you can solve

experimentx · Answer

use implicit differentiation,

$$ 2x + 2y\frac{dy}{dx} = 0$$
$$ \frac{dy}{dx} = -x/y$$

find the value of y from plugging the value of x, use this to find slope  ... and rest is line stuff.

anonymous · Answer

aha ,ty :)

experimentx · Answer

wc