Gosh. I took the time to create an account and provide the diagram that you had asked for, and now you call my graph slop?
heh, heh
The correct name is "slope".
You can't see the slope on a diagram. You need to calculate the slope. I had thought that you asked for a diagram to see what a tangent line looks like.
We already told you how to calculate the slope! Why don't you do it?
The first derivative of f(x) gives you the slope at each value of x.
You know the first derivative: f
'(x) = 2x
For example, if I wanted to know the slope of the tangent line to the parabola at the point (4,16), I would use the derivative.
f
'(4) = 8
The tangent line has slope 8, at the point (4, 16)
f
'(-3/2) = -3
The tangent line has slope -3, at the point (-3/2, 9/4)
f
'(0) = 0
The tangent line has slope 0, at the point (0, 0)
Maybe part of your difficulties arise from not knowing prerequisite material. You need experience with precalculus topics, before studying calculus.