Barrons AP Calculus

I.

II.

III.

(A)

(B)

(C)

(D)

(E)

(A)

(B)

(C)

(D)

(E)

(A)

(B)

(C)

(D)

(E)

In  which   of  these   intervals   is  there   a   value   c   for which   f(c)    is  the average

value   of  f   over    the interval    [0,6]?

[0,2]

[2,4]

[4,6]

I   only

II  only

III only

I   and II  only

none    of  these,  because f   is  not differentiable  on  [0,6]

−2

0

2

Let  ;  then    g′(1)

=   3.

=   4.

=   6.

=   8.

does    not exist,  because f   is  not differentiable  at  x   =   2.

Let h(x)    =   x^2     −   f(x).   Find    .