James W.

asked • 01/31/16

using f(x)=1/sqrtx, find a tangent line that is parallel to x+2y+6=0

I can get most of the way through this problem.  I know the tangent line is y=-1/2x+3/2.  I know it intersects the function at (1, 1).  I get stuck when trying to prove it.  using the formula:
limit  of (f(c+deltax)-f(c))/deltax as deltax approaches 0
I put my funciton into the formula and remove the fraction from the top.  Then, I multiply by the conjugate.  Then, i Simplify and I am left with:
That is where I am stuck.  So, my questions is:  How do I get to (y=-1/2x+3/2) from here?  As always please be as specific as possible.  Thank you so much for your help.

1 Expert Answer


Arturo O. answered • 06/02/16

5.0 (66)

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