AP Calculus AB - Transcendental Functions- 7 Questions

1. What is the derivative of the function f(x) = e^x?

(a) e

(b) e^x

(c) 1

(d) 0

2. What is the integral of the function g(x) = 4/x?

a) 4ln|x|

(b) 4ln(x)

(c) 4x

(d) 4

3. What is the derivative of the function h(x) = ln(x^2 + 1)?

(a) (2x)/(x^2 + 1)

(b) (2x)/(x^2 – 1)

(c) 2ln(x)

d) 1/(x^2 + 1)

4. What is the integral of the function f(x) = sin(x)?

(a) -cos(x) + C

(b) cos(x) + C

(c) -sin(x) + C

(d) sin(x) + C

5. What is the derivative of the function g(x) = tan(x)?

(a) sec^2(x)

(b) cos(x)

(c) sin(x)
(

d) cot(x)

6. What is the integral of the function h(x) = e^(2x)?

(a) (1/2)e^(2x) + C

(b) e^(2x) + C

(c) (2/3)e^(3x) + C

(d) (1/4)e^(4x) + C

7. What is the derivative of the function f(x) = ln(3x)?

(a) 1/x

(b) 1/3x

(c) 3/x

d) (1/3)x