Finding k Values for Tangency of y=kx-2 and f(x) = x^2

  • Thread starter Thread starter Carl_M
  • Start date Start date
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
1 reply · 2K views
Carl_M
Messages
13
Reaction score
0

Homework Statement


For what values of k is the line y = kx - 2 tangent to the graph of f(x) = x^2?


Homework Equations





The Attempt at a Solution



Would I just find f'(x) = 2x?
 
Physics news on Phys.org
Carl_M said:

The Attempt at a Solution



Would I just find f'(x) = 2x?

No but solving y=kx-2 and y=x2 would yield only one solution for x

Hint: recall the condition in the quadratic equation formula for equal roots.