Question 5
Consider the function f(x) = x^3 - 3x^2 + 3. Find the points where the tangent line is horizontal.
a) (0,0) (2,0)
b) (-1/2, 17/8)
c) (0,3) (2,-1)
d) (-1/2, 17/8) (1/2, 19/8)
e) (1/2, 19/8) (-1/2, 17/8)
Question 6
Given the function f(x) = 1/3x^3 - x^2 + 2, find the points where the tangent line has slope 3.
a) (-3,-16), (1, 4/3)
b) (0,2), (3,2)
c) (-3,-16), (-1, 2/3)
d) (3,2), (-1, 2/3)
e) (0,2), (1, 4/3)