## S 4 years ago Find dy/dx: y=e^(5-3lnx)

1. anonymous

use chain rule

2. anonymous

I dont think so he know the chain rule let's help out :)

3. anonymous

so this would be 5/(3lnx)?

4. anonymous

nope answer would be : -3/x(e^5-3lnx)

5. anonymous

could you please show me the steps, i am confused how you get that..

6. myininaya

@muhe Don't just give the answer. It is against our CoC. Thanks for understanding.

7. anonymous

okay sorry for that I thought he is asking only the answer..

8. myininaya

$y=e^{f(x)} => y'=f'(x) e^{f(x)}$

9. myininaya

This right here will work every time for something in the form of $y=e^{f(x)}$

10. anonymous

U differentiate the power of the e first and then multiply it with the function that is how u differentiate the power of the e..

11. anonymous

sorry, my battery just died

12. anonymous

so, in this case the derivative of 5

13. myininaya

$y'=(5-3 \ln(x))'e^{5-3\ln(x)}$ using the rule I wrote down

14. anonymous

the derivative of 5-3lnx would be -3* 1/x ?

15. myininaya

Yes! So what is y'?

16. anonymous

yes exactly

17. anonymous

so y' would be -3/x * e^(5-3lnx)

18. myininaya

:) Great job everyone!

19. anonymous

thank you =D now I get that !