# Homework Problem

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• October 12th 2008, 03:16 PM
sgupta
Homework Problem
Hi,
1.How would you differentiate (6^x)log_4 (x)? Note that the underscore here indicates subscript here.

2. Solve for f'(x) given that :
d/dx(f(4(x^5))=6(x^2)

Please help! I have homework due!

Thanks a lot.
• October 12th 2008, 03:36 PM
Chris L T521
Quote:

Originally Posted by sgupta
Hi,
1.How would you differentiate (6^x)log_4 (x)? Note that the underscore here indicates subscript here.

You will need to use the product rule here.

But recall that:

$\frac{d}{\,dx}\left[a^x\right]=a^x\ln a$

and

$\frac{d}{\,dx}\left[\log_a x\right]=\frac{1}{x\ln a}$

Can you take this one from here?

--Chris
• October 12th 2008, 04:15 PM
sgupta
Thanks,So this means..

The answer is

((6^x)/(xln4))+ log_4(x)((6^x)(ln6))

I assume this is right, since I have used the product rule as well as the formulae. But I keep getting an "Incorrect" on my webwork..

Help!