The intervals of decrease of the function?

Question

dls · Answer

$$\large  f(x)=x^2\log27-6xlog27+(3x^2-18x+24)\log(x^2-6x+8)~ is?$$

dls · Answer

@genius12 @oldrin.bataku @terenzreignz ^_^

terenzreignz · Answer

<shrug> 
differentiate?
$$ f'(x) = 2x\log(27) - 6\log(27)+(6x -18)\log(x^2-6x+8)+(3x^2-18x+24)\left(\frac{2x-6}{x^2-6x+8}\right)$$

terenzreignz · Answer

bloody hell -.-

dls · Answer

i got this on some simplification
$$\large f'(x)=6xlog3-18\log3+(x^2-6x+4)(2x-6)\log3+3(2x-6)$$
looks better :|

anonymous · Answer

omfg rofl...the teachers don't get that a students differentiability skills won't improve by giving them functions to integrate that are as long as the distance from the earth to the moon... 

Regardless;

dls · Answer

they told me that giving big functions to differentiate isn't testing their differentiation skills,we should spend 45 seconds maximum on a question to perform well in our exam,so we should have a logical and analytical mind on how to do the question in minimum time,differentiating from starting,using product rule,chain rule isn't what they want.

anonymous · Answer

@DLS is the derivative u typed up the whole/correct f'(x)?

dls · Answer

according to me,but u can check ;/

anonymous · Answer

by the way the base is 10 correct? @DLS

dls · Answer

dunno

dls · Answer

base is e

terenzreignz · Answer

And the winner for most sadistic instructor goes to...

dls · Answer

......