AP Calculus Multiple Choice Questions

Question 1: The function given by:

is differentiable at x=0. What is the value of f(n-m)?

2+e
3+e²
e²
2e
e³

Question 2: If dy/dx = sin(x³), what is d²/dx²?

3x²cos(x³)
-3x²cos(x³)
x²cos(3²)
-x²cos(3²)
cos(x³)

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)
x²/ln(2) + 1/ln(2)
x + 2ln(2)
2^x + ln(2)

Free Test Online