Consider the parabola
y =
4x -
x2. (a) Find the slope of the tangent line to the parabola at the point (
1,
3).
1
(b) Find an equation of the tangent line in part (a).
y = 2
________________________________-
Find an equation of the tangent line to the curve at the point (
5,
3).
y = 1
______________________________Find an equation of the tangent line to the curve at the point (
9,
3).
y =
x
y = 1
_______________________---
Find an equation of the tangent line to the graph of
y =
g(
x) at
x =
3 if
g(
3) =
−5 and
g'(
3) =
4.
y = 1
If the tangent line to
y =
f (
x) at (
8,
7) passes through the point (0,
6), find
f(
8) and
f '(
8).
f (
8)= 2
f '(
8)= 3
1
_________________
Consider the function below.
g(
x) =
1 -
x3
(a) Find
g'(0).
1
(b) Use it to find an equation of the tangent line to the curve
y =
1 -
x3 at the point (0,
1).
y = 2
___________________________________
Find
f '(
a).
f(
t) =
t3 -
6t
f '(
a) = 1
_____________________________