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CLEP Calculus Test 2
Question 1:
a/3
a
a/2
a - 1
2a
Question 2: If f(x) = ln(x
^{2}
+ cos(x)), then f '(x) =
[2x - sin(x)]/[x
^{2}
+ cos(x)]
[2x + sin(x)]/[x
^{2}
+ cos(x)]
[2x - cos(x)]/[x
^{2}
+ cos(x)]
[2x + sin(x)]/[x
^{2}
- cos(x)]
[2x - sin(x)]/[x
^{2}
+ sin(x)]
Question 3: Which of the following are antiderivatives of
f(x) = 2
^{x}
?
2
^{x}
/ln(2) + x/ln(2)
2
^{x}
/ln(2) + ln(2)
2
^{x}
+ ln(2)
2
^{x}
2
^{x}
/ln(2) + x
Question 4: Let f be the function in the first and second quadrants given by
Find the area enclosed by the graphs of f(x) and -f(x).
16¶
9¶
^{2}
3¶
9¶
9¶ - 9
Question 5:
dy/dx = x
^{2}
y
Let y = f(x) be the solution of this equation with the initial condition f(1) = 1. What is the equation of the tangent to the graph of f at x = 1?
y = x + 1
y = x - 1
y = 2x + 1
y = x
y = x + 6