Find all tangent lines through the origin to the graph of $\displaystyle y=1+(x-1)^2$
I'm not even sure where to start! Help me MHF!
Hey Paze.
A line through the origin has the equation y = mx.
The tangent line at the point x has the form of m = f'(x) where f'(x) is the derivative function of f(x).
So you have to find all points of x where y = f'(x0)*x.