Given that , the values of x for which
This is what I'm thinking.
First differentiate. Then put the sign then 0. You will get
Is this right?
from there you find the range of x for which
In the case of quadratics, you can alternatively find the axis of symmetry.
The co-efficient of is positive, so the graph is U-shaped.
Hence the slope of the tangent is at or after the minimum,
which occurs halfway between the roots or at the roots in the case of a double root.
Double root at x=3, so the tangent has a positive slope after x=3.