Semester+2+Review

=**Exam Review - 2nd Semester**=

** Unit 4:** //Integrals//
-Michael White











~Mernuelita Florissant

~ Mernuelita Florissant

Bailey Man and Caylin McCubbin questions and answers below in pdf

__**Unit 5: Transcendentals**__

1.) **Find the derivative of** F(x) = ln x + 6x 2

**(a)** 1/x + 12x **(b)** 1/x **(c)** lnx + 12x **(d)** lnx +6x **(e)** ln x

2.) **Find the derivative of** F(x) = ln (-4x + 1)

**(a)** 1/ (-4x + 1) **(b)** -4/ (-4x+1) **(c) l**n (-4x+1) **(d)** 4/ (-4x+1) **(e)** -4


 * Answers to questions 1 and 2 .**

Unit 6: Applications of Integrals

1. What is the x-coordinate of the point of inflection of y=1/3x^3+5x^2+24?

2. The graph of y=3x^4 -16x^3 +24x^2 +48 is concave down for....

3. If f(x)=x^3/2, then f '(4)= 4. For what value of x does the function f(x)=(x-2)(x-3)^2 have a relative maximum?

5.The area of the region enclosed by the curve y=1/x-1, the x-axis, and the lines x=3 and x=4 is

6. The function f is given by f(x)= x^3 +12x -24 is

7. If f "(x)= x(x+1)(x-2)^2, then the graph of f has inflection points when x=

Answer Key: 1. -5 2. 2/3<x<2 3. 3 4.7/3 5.ln3/2 6. increasing for all x 7. -1 and 0 onl