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Advanced Placement Calculus AB Test
Question 1: The function given by:
is differentiable at x=0. What is the value of f(n-m)?
2+e
3+e
^{2}
e
^{2}
2e
e
^{3}
Question 2: If y = sin(x
^{3}
), what is dy/dx?
3x
^{2}
cos(x
^{3}
)
-3x
^{2}
cos(x
^{3}
)
x
^{2}
cos(3
^{2}
)
-x
^{2}
cos(3
^{2}
)
cos(x
^{3}
)
Question 3:
-1
1/5
1
-1/3
1/3
Question 4: What is the value of
a
, if:
¶
1
1 + ¶
√2
1 + e
Question 5: Which of the following are antiderivatives of f(x) = 2
^{x}
?
2
^{x}
/ln(2) + ln(2)
2
^{2x}
/ln(2) + ln(2)
x
^{2}
/ln(2) + 1/ln(2)
x + 2ln(2)
2
^{x}
+ ln(2)
Review the AP calculus test 1 correct answers.