Math 30 - Final-version 2

# Math 30 - Final-version 2 - San Jose State University Math...

This preview shows pages 1–11. Sign up to view the full content.

San Jose State University Math 30 - Fall 09 Final Exam Show Your Work Simplify Your Answers Name:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Problem 1: If f ( x ) = x - 3, g ( x ) = x 2 , and h ( x ) = x 3 + 2, find f g h ( x ). Solution : Problem 2: Evaluate lim x →- 4 x 2 + 5 x + 4 x 2 + 3 x - 4 , if it exists. Solution :
Problem 3: Find lim u →∞ 4 u 4 + 5 ( u 2 - 2)(2 u 2 - 1) . Solution : Problem 4: Find the derivative of g ( x ) = cosh(ln x ). Solution :

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Problem 5: Differentiate f ( x ) = x + 1 3 x 2 . Solution : Problem 6: Find f 0 ( x ) and f 00 ( x ), for f ( x ) = x 4 e x . Solution :
Problem 7: Differentiate f ( x ) = sin 2 ( e sin 2 x ). Solution : Problem 8: Find the derivative of f ( t ) = tan( e t ) + e tan t . Solution :

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Problem 9: Find dy/dx given that x 2 y 2 + x sin y = 4. Solution : Problem 10: Differentiate y = ( x ) x . Solution :
Problem 11: A ladder 15 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 5 ft/s, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 10 ft from the wall? Solution : Problem 12: Find the linearization L ( x ) of the function f ( x ) = x + 3 at a = 1. Use L ( x ) to approximate the number 3 . 98. Solution :

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Problem 13: Let f ( x ) = 2 + 3 x - x 3 . (a) Find the local maximum and minimum values of

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern