Question: 1- f(x) = 5x - 5 [ Choose ] a- f(1) is not 0, f '(1) is not 0, and f(1) = 0. b-f(1) =
1- f(x) = 5x - 5
[ Choose ]
a- f(1) is not 0, f '(1) is not 0, and f"(1) = 0.
b-f(1) = 0, f '(1) is not 0, and f"(1) = 0.
c-f(1) = 0, f '(1) = 0, and f"(1) is not 0.
d-f(1) is not 0, f'(1) = 0, and f"(1) is not 0.
e-f(1), f '(1) and f"(1) are all not 0.
f-f(1) = 0 and f '(1) = 0, but f"(1) is undefined.
g-f(1) = 0, f'(1) is not 0, and f"(1) is not 0.
h-f(1) = 0 and f'(1) is undefined.
i-f(1) = 0, f '(1) = 0, and f" (1) = 0.
j-f(1) is not 0, f '(1) = 0, and f"(1) = 0.
k-f(1) is undefined.
2-f(x) = x2- 6x + 4
[ Choose ]
a- f(1) is not 0, f '(1) is not 0, and f"(1) = 0.
b-f(1) = 0, f '(1) is not 0, and f"(1) = 0.
c-f(1) = 0, f '(1) = 0, and f"(1) is not 0.
d-f(1) is not 0, f'(1) = 0, and f"(1) is not 0.
e-f(1), f '(1) and f"(1) are all not 0.
f-f(1) = 0 and f '(1) = 0, but f"(1) is undefined.
g-f(1) = 0, f'(1) is not 0, and f"(1) is not 0.
h-f(1) = 0 and f'(1) is undefined.
i-f(1) = 0, f '(1) = 0, and f" (1) = 0.
j-f(1) is not 0, f '(1) = 0, and f"(1) = 0.
k-f(1) is undefined.
3-f(x) = x3/3 - x2+ x
[ Choose ]
a- f(1) is not 0, f '(1) is not 0, and f"(1) = 0.
b-f(1) = 0, f '(1) is not 0, and f"(1) = 0.
c-f(1) = 0, f '(1) = 0, and f"(1) is not 0.
d-f(1) is not 0, f'(1) = 0, and f"(1) is not 0.
e-f(1), f '(1) and f"(1) are all not 0.
f-f(1) = 0 and f '(1) = 0, but f"(1) is undefined.
g-f(1) = 0, f'(1) is not 0, and f"(1) is not 0.
h-f(1) = 0 and f'(1) is undefined.
i-f(1) = 0, f '(1) = 0, and f" (1) = 0.
j-f(1) is not 0, f '(1) = 0, and f"(1) = 0.
k-f(1) is undefined.
4-f(x) = x3- 3x + 2
[ Choose ]
a- f(1) is not 0, f '(1) is not 0, and f"(1) = 0.
b-f(1) = 0, f '(1) is not 0, and f"(1) = 0.
c-f(1) = 0, f '(1) = 0, and f"(1) is not 0.
d-f(1) is not 0, f'(1) = 0, and f"(1) is not 0.
e-f(1), f '(1) and f"(1) are all not 0.
f-f(1) = 0 and f '(1) = 0, but f"(1) is undefined.
g-f(1) = 0, f'(1) is not 0, and f"(1) is not 0.
h-f(1) = 0 and f'(1) is undefined.
i-f(1) = 0, f '(1) = 0, and f" (1) = 0.
j-f(1) is not 0, f '(1) = 0, and f"(1) = 0.
k-f(1) is undefined.
5- f(x) = x4- 6x3+ 12x2
[ Choose ]
a- f(1) is not 0, f '(1) is not 0, and f"(1) = 0.
b-f(1) = 0, f '(1) is not 0, and f"(1) = 0.
c-f(1) = 0, f '(1) = 0, and f"(1) is not 0.
d-f(1) is not 0, f'(1) = 0, and f"(1) is not 0.
e-f(1), f '(1) and f"(1) are all not 0.
f-f(1) = 0 and f '(1) = 0, but f"(1) is undefined.
g-f(1) = 0, f'(1) is not 0, and f"(1) is not 0.
h-f(1) = 0 and f'(1) is undefined.
i-f(1) = 0, f '(1) = 0, and f" (1) = 0.
j-f(1) is not 0, f '(1) = 0, and f"(1) = 0.
k-f(1) is undefined.
6-f(x) = x4/(x2- 1)
[ Choose ]
a- f(1) is not 0, f '(1) is not 0, and f"(1) = 0.
b-f(1) = 0, f '(1) is not 0, and f"(1) = 0.
c-f(1) = 0, f '(1) = 0, and f"(1) is not 0.
d-f(1) is not 0, f'(1) = 0, and f"(1) is not 0.
e-f(1), f '(1) and f"(1) are all not 0.
f-f(1) = 0 and f '(1) = 0, but f"(1) is undefined.
g-f(1) = 0, f'(1) is not 0, and f"(1) is not 0.
h-f(1) = 0 and f'(1) is undefined.
i-f(1) = 0, f '(1) = 0, and f" (1) = 0.
j-f(1) is not 0, f '(1) = 0, and f"(1) = 0.
k-f(1) is undefined.
7-f(x) = SqRoot(x3- 1)
[ Choose ]
a- f(1) is not 0, f '(1) is not 0, and f"(1) = 0.
b-f(1) = 0, f '(1) is not 0, and f"(1) = 0.
c-f(1) = 0, f '(1) = 0, and f"(1) is not 0.
d-f(1) is not 0, f'(1) = 0, and f"(1) is not 0.
e-f(1), f '(1) and f"(1) are all not 0.
f-f(1) = 0 and f '(1) = 0, but f"(1) is undefined.
g-f(1) = 0, f'(1) is not 0, and f"(1) is not 0.
h-f(1) = 0 and f'(1) is undefined.
i-f(1) = 0, f '(1) = 0, and f" (1) = 0.
j-f(1) is not 0, f '(1) = 0, and f"(1) = 0.
k-f(1) is undefined.
8-f(x) = ex^2 - 2x
[ Choose ]
a- f(1) is not 0, f '(1) is not 0, and f"(1) = 0.
b-f(1) = 0, f '(1) is not 0, and f"(1) = 0.
c-f(1) = 0, f '(1) = 0, and f"(1) is not 0.
d-f(1) is not 0, f'(1) = 0, and f"(1) is not 0.
e-f(1), f '(1) and f"(1) are all not 0.
f-f(1) = 0 and f '(1) = 0, but f"(1) is undefined.
g-f(1) = 0, f'(1) is not 0, and f"(1) is not 0.
h-f(1) = 0 and f'(1) is undefined.
i-f(1) = 0, f '(1) = 0, and f" (1) = 0.
j-f(1) is not 0, f '(1) = 0, and f"(1) = 0.
k-f(1) is undefined.
9-f(x) = ln(x)[ Choose ]
a- f(1) is not 0, f '(1) is not 0, and f"(1) = 0.
b-f(1) = 0, f '(1) is not 0, and f"(1) = 0.
c-f(1) = 0, f '(1) = 0, and f"(1) is not 0.
d-f(1) is not 0, f'(1) = 0, and f"(1) is not 0.
e-f(1), f '(1) and f"(1) are all not 0.
f-f(1) = 0 and f '(1) = 0, but f"(1) is undefined.
g-f(1) = 0, f'(1) is not 0, and f"(1) is not 0.
h-f(1) = 0 and f'(1) is undefined.
i-f(1) = 0, f '(1) = 0, and f" (1) = 0.
j-f(1) is not 0, f '(1) = 0, and f"(1) = 0.
k-f(1) is undefined.
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