how can I find the concavity of the tangent line of the function?

Question

for example I know the point (2;1) need to fine the concaviti of the tangent line at this point

Answer 1

The equation of a line is
y = mx + b
y' = m
y'' = 0
The concavity is zero. That is, a line is neither concave up nor concave down.

Answer 2

A line is neither concave or convex; it is a straight line and has no concavity. If you are referring to the slope of the curve at that particular point, or the slope of the tangent line to the curve at that point, the answer is to take the derivative of the function that defines the curve. Assuming the original function is a function of the X variable (i.e. y=F(x)), once you have the derivative, plug in the x coordinate of your point (2 in the point listed above) for the value of x, and the answer to the derivative at that point is the slope of your tangent line.

Answer 3

by defination tangent is a straight line so the concavityis 0

Answer 4

Go to the site :
http://www.sosmath.com/calculus/diff/der15/der15.html

Answer 5

i agree with mathgirl