Need help.
Use logarithmic differentiation to find the derivative of the following equation.
y = (6x + 1)^5(x4 − 1)^6

Question

anonymous · Answer

wait it's actually..
y= ((6x+1)^5) * ((x^4)-1)^6

anonymous · Answer

take the log, 
simplify using properties of the log, 
take the derivative of the simplified thing, 
then multiply by the original function

turingtest · Answer

$$y = (6x + 1)^5(x^4 − 1)^6$$$$\ln y=5\ln(6x+1)+6\ln(x^4-1)$$can you differentiate this?

anonymous · Answer

i think you get 
$$5\ln(6x+1)+6\ln(x^4-1)$$
$$5\ln(6x+1)+6(\ln(x+1)+\ln(x-1)+\ln(x^2+1))$$ as a first step

anonymous · Answer

but that may be excessive. best to start with turing's answer

turingtest · Answer

yeah I was kinda gonna say...

anonymous · Answer

just showing off really but if it is to turn in maybe that is what they want to see.  or if it is online.  who knows.

anonymous · Answer

Got it, thanks