You are here:
- Home
- Science
- Mathematics
- Advanced Math
- Calculus help
Advanced Math/Calculus help
Advertisement
Question
Hey can you help me with these 2 questions i can't figure out i hosted an image of the questions thanks.
http://img364.imageshack.us/img364/7189/untitled1cl5.jpg
Hi Jack,
1) It's a product rule and chain rule problem.
y = e^(-2x)*sec(3x)
y' = [(dy/dx) e^(-2x)] * sec(3x) + e^(-2x)[(dy/dx) sec(3x)]
= -2 e^(-2x) sec(3x) + 3 e^(-2x) sec(3x) tan(3x)
Answer is A.
2) It's a simple chain rule problem.
y = ln (2x^3 + 3x)
y' = (dy/dx) (2x^3+3x) / (2x^3+3x)
= (6x^2 + 3) / (2x^3 + 3x)
Answer is D.
I hope this helps,
Jack
Related Articles
Answers by Expert:
Jack Cheng
Expertise
I can answer most questions in Math up to single-variable Calculus, including infinite series. I like to think very much, so questions with a lot of twists and turns are highly welcomed! Mathematical questions related to computer science are also highly welcomed! I can also answer some basic questions in discrete mathematics (logics, sets, some algorithms, basic number theory). I am also studying physics (mechanics in particluar), so I am willing to answer some questions relating to it.
Experience
Majoring in Mathematics.
Education/Credentials
I am sophomore/junior status in college working towards bachelor's degrees in Computer Science and Mathematics.
©2012 About.com, a part of The New York Times Company. All rights reserved.