anonymous 4 years ago differentiate. f(x)=ln[e^(7x^5)*sqrt(x)]

1. anonymous

im stuck on the first term. can you bring the whoule thing to the front?

2. anonymous

after seperating with the laws and stuff

3. anonymous

is this $\ln(e^{7x^5}\sqrt{x})$ because if so it is just $7x^5+\frac{1}{2}\ln(x)$

4. anonymous

$\ln(e^{\text{stuff}})=\text{stuff}$

5. anonymous

oh cuz e and ln cancel? nice.

6. anonymous

i am not sure i would use the work "cancel" but they are inverse functions, so i guess you can think of it that way

7. anonymous

*word