Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (anonymous):

Derivative of logarithmic functions

OpenStudy (anonymous):

f(x)=6log_{7} (x) , find f prime(4)

OpenStudy (anonymous):

\[f(x)=6\log_{7} (x) , find f \prime(4) \]

hartnn (hartnn):

can u convert 1og_7 to ln ??

OpenStudy (anonymous):

A SQUARE ROOM HAS A SIDE OF 8FT. HOW MANY 6 BY 6 IN TILES ARE NEEDED?

OpenStudy (anonymous):

Come on don't ask questions inside other people questions!!!!

OpenStudy (anonymous):

That was random haha

hartnn (hartnn):

@abby_19 ask your question on a new post

OpenStudy (anonymous):

I would if I could

OpenStudy (anonymous):

She already did!!!

hartnn (hartnn):

oh yeah ..

OpenStudy (anonymous):

Use log propertie that says that \[\log_{a}b=\frac{ \log_{c}b }{ \log_{c}a } \] and use c = e

OpenStudy (anonymous):

\[\frac{ 1 }{ xln7 }\]

OpenStudy (anonymous):

f'(4)= 1/4lin7

OpenStudy (anonymous):

f'(4)= \[\frac{ 1 }{ 4\ln7}\]

hartnn (hartnn):

thats correct :)

hartnn (hartnn):

but where did 6 go ?

hartnn (hartnn):

6/(4ln 7)=3/(2 ln 7)

OpenStudy (anonymous):

But is that how I write the answer?

hartnn (hartnn):

yes, \(\huge f \prime (4)=\frac{3}{2 ln 7}\)

OpenStudy (anonymous):

Oh I see

OpenStudy (anonymous):

I forgot about the 6

OpenStudy (anonymous):

thats why is was 3/2 okay

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!