Intersection of the graphs of two functions

Let $$f(x)={x^3-14x^2+7x+203\over(x-3)(8-x)}$$ I want to find the two solutions of $$f(x)f''(x)=(f'(x))^2,\qquad3\le x\le8$$

This is the first time i am using maple, and i cannot get the graph to work out.

• Which functions "intersect"? Which graph are you wanting to work out? – Gerry Myerson Apr 26 '12 at 13:33
• Reading your post is a nightmare. Could you please write mathematics in some less "computer science" fashion? – Siminore Apr 26 '12 at 13:33
• edited, i removed the first and second Der. to make the post cleaner. I believe you all should be able to calculate these, so its not important for me question. – KevinCameron1337 Apr 26 '12 at 13:44
• @Siminore better? – KevinCameron1337 Apr 26 '12 at 15:26
• What are the functions you are trying to find the intersection of????? – 000 Apr 26 '12 at 15:45

2 Answers

Using Maple 16 ...

Note $F1 > -10$ and $F2 > 50$, so there is no need to consider the absolute value of $F1$ for intersections.

The first derivative is $3 x^2-28 x+ \frac {203}{5 (x-8)^2}-\frac {203}{5 (x-3)^2}+7$ and the second is $\frac {14}5 \left(\frac{29}{(x-3)^3}-\frac{29}{(x-8)^3}-10\right )+6 x$ (both from Alpha). Unfortunately, the entry box isn't large enough for your whole problem, but a lot of the denominators will cancel.