Download PRECALCULUS HONORS TEST REVIEW 12.3 Approximate the

PRECALCULUS HONORS TEST REVIEW 12.3
Approximate the slope of the tangent line to the graph at the point (x, y).
1. 20.
Find a formula for the slope of the graph of f at the point (x, f(x)). Then use it to
find the slope at the two given points.
2.
3.
f (x) = x 2 − 4x
a) (0, 0)
b) (5, 5)
f (x) = x
a) (1, 1)
b) (4, 2)
Find the derivative of the function.
4.
5.
6.
f (x) = 5
f (x) = 3x −1
f (x) = 2x 2 + 2
7. g(t) =
6
5−t
8. If f (x) = 2x , then f '(2) =
1
1
(A)
(B)
4
2
(C)
2
2
(D) 1
(E)
2
Find the slope of the graph of f at the given point. Use the result to find an equation
of the tangent line to the graph at the point.
9.
f (x) = 2x 2 −1,
(0, −1)