Using f and f' and f"

The questions below all refer to a given function … let’s call it f(x)
1) Find the Equation of the SECANT LINE
that passes thru the two points
where x = 0 and x = 2 on the curve f(x).
2) Find the Equation of the TANGENT LINE
that passes thru the point
where x = 2 on the curve f(x).
3) Find f ‘ ( 3 )
4) Find the following three numbers , if they exists:
f(0) and f ‘ (0) and f “ (0)
5) What values of x=c (find out what c equals)
will make the following TRUE?
.......A) f ( c ) = 0 …
(c is the ROOT or ZERO or X-INTERCEPT of the curve.)
.......B) f ‘ (c) = 0 …
(HORIZONTAL TANGENT lines will occur at x = c.)
.......D) f “ (c) = 0 …
(It is very possible that
a POINT of INFLECTION will occur at x = c.)
6) Find the Equation of the NORMAL LINE
that passes thru the point where x = 2 on the curve f(x).
7) For what values of x will the curve
have VERTICAL TANGENT LINES?
8) On what INTERVALS of x will the curve
be INCREASING?
9) On what INTERVALS of x will the curve
be CONCAVED UP?
10) What are the INFLECTION POINTS for the function?
(For what values of x will the curve
CHANGE its CONCAVITY?)

derivative styles uv v/v u to the nth

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