Find k such that the line is tangent to the graph of the function

http://i146.photobucket.com/albums/r...kitty216/4.jpg

don't know how to do this one

Printable View

- January 11th 2009, 11:07 PMNeverendingfinding k so line is tangent to graph
Find k such that the line is tangent to the graph of the function

http://i146.photobucket.com/albums/r...kitty216/4.jpg

don't know how to do this one - January 11th 2009, 11:16 PMProve It
- January 11th 2009, 11:17 PMmr fantastic
- January 11th 2009, 11:33 PMNeverending
I think it wants all values of x where it would be tangent. It must have to do with the derivative because that's the chapter im on. I just don't know what to do with it.

well the deriv = 2x - k

Am I suppose to set that equal to the slope perhaps?? but when I do I get something like 2x-4... what to do with that? - January 12th 2009, 02:13 AMmr fantastic
.

Discriminant: .

Solve : .

Calculus approach:

Gradient of tangent = 4 therefore require :

.... (1)

At the point of tangency require the y-coordinate to be the same for the tangent line and the curve:

.... (2)

Solve equations (1) and (2) simultaneously for : . - January 12th 2009, 12:12 PMNeverending
yay I got it! Thanks so much (Happy)