Answers for Ch. 5 Review: The Definite Integral
1. So, Im to sketch a graph of y = 4x x3. I
sketch things with software. Four subregions,
x = . The region R is only in the first
quadrant, and the x-intercepts are 0 and 2, so
the vertical separators will b
Answers for Ch. 4 Review: Applications of Derivatives
1.
local and absolute minimum at x = a; since
the y-values increase without bound, there
are no maxima.
So f (c) = 3c2 7 =
2.
no extrema; the point at x = a is a point of
inflection, and a critical poi
Answers to Calculus Review, Differentiation
1.
f(x) =
a)
b)
Use the definition of the derivative to calculate the derivative of f.
First, you need the definition! Ill write it here in terms of h, although weve also used x.
f ( x + h) f ( x)
f ( x) = lim
h