# Derivative's Equations

• May 25th 2011, 03:09 PM
TheSame
Derivative's Equations
Hello everyone, I am currently stuck on this six part question. I understand that my request is lengthy but I would truly appreciate if someone could show me the solution to these problems or at least help me get started on the first part.

http://img851.imageshack.us/img851/4954/scan30001.jpg

Thank you so much
• May 25th 2011, 03:58 PM
pickslides
If \$\displaystyle \displaystyle f(x) = ax^n \$

then \$\displaystyle \displaystyle f'(x) = anx^{n-1} \$
• May 25th 2011, 05:37 PM
TheSame
Quote:

Originally Posted by pickslides
If \$\displaystyle \displaystyle f(x) = ax^n \$

then \$\displaystyle \displaystyle f'(x) = anx^{n-1} \$

So for part a) would the derivative of f(x) "with respect to x" be \$\displaystyle \displaystyle f'(x) = 2ax+b \$ ?
• May 25th 2011, 09:46 PM
pickslides
Yep, nice work, what's next?
• May 26th 2011, 05:21 AM
mr fantastic
Quote:

Originally Posted by TheSame
Hello everyone, I am currently stuck on this six part question. I understand that my request is lengthy but I would truly appreciate if someone could show me the solution to these problems or at least help me get started on the first part.

http://img851.imageshack.us/img851/4954/scan30001.jpg

Thank you so much