Question

f(x)=[lnx]4
f'x
and f(e^3)'

Answer 1

@jim_thompson5910

Answer 2

ln(x) to the 4th power?

Answer 3

are you saying find f'(x)?
if so then f(x)=4[ln(x)]
f'(x)= 4(1/x)
f'(x)= 4/x

and to find f(e^3)' just plug that into =4/(e^3)

Answer 4

yes 4th power

Answer 5

you have to use the chain rule to get


f(x) = [ ln(x) ]^4


f'(x) = 4[ ln(x) ]^3 * d/dx[ ln(x) ]


f'(x) = 4[ ln(x) ]^3 * (1/x)


then you plug in x = e^3 and evaluate

Answer 6

Wow, I see its so clear!
People gave me answers but none of them were corrrect
you did it! cool!

Answer 7

f(x)=5cos(7ln(x)) , find f(x

Answer 8

this is the next question but i will post it to new one so you could have medal