- #1
Quadruple Bypass
- 120
- 0
OK, the professor did this problem for us as an example and i got lost somewhere in between. the problem was: find the critical points
f(x)= x^(4/5)*(x-4)^2
then he used the product rule to get
f '(x)= 4/5 x^(-1/5) *(x-4)^2 + x^(4/5) * 2(x-4) = 0
THEN, the part that threw me off was the next part where he said multiply both sides by 1/5...what did he mean by that? after that you get
4/5 (x-4)^2 + 2x(x-4) = 0 and so on...
my question is how and what did he do to get rid of the x^(-1/5) and the x^(4/5)?
Any help would be greatly appreciated
f(x)= x^(4/5)*(x-4)^2
then he used the product rule to get
f '(x)= 4/5 x^(-1/5) *(x-4)^2 + x^(4/5) * 2(x-4) = 0
THEN, the part that threw me off was the next part where he said multiply both sides by 1/5...what did he mean by that? after that you get
4/5 (x-4)^2 + 2x(x-4) = 0 and so on...
my question is how and what did he do to get rid of the x^(-1/5) and the x^(4/5)?
Any help would be greatly appreciated