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## lilly21 3 years ago Can someone check my calc prob and tell me if my answer is correct? Find the derivative of the function. y=Ine^x

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1. lilly21

y(prime)=1/x(e^x)+e^x(In) and my answer is y(prime)=e^x(1/x+In)

2. suneja

y=lne^x=e^x de^x/dx =e^x

3. lilly21

u lost me

4. satellite73

hold the phone $$\ln(e^x)=x$$

5. lilly21

well the problem has absolutely No parenthesis

6. suneja

sorry do u knw dat log n exp are mirror fns and that why they cancel out each other

7. suneja

ya is it 1

8. lilly21

okay?

9. suneja

is the correct ans 1

10. lilly21

i have no idea this is an even problem and my book does not carry evens numbered problems

11. UnkleRhaukus

$y=\ln_ex$ ?

12. lilly21

No simply lne^x

13. micahwood50

lne^x = xlne = x So y = x Now derivative it.

14. lilly21

y=In e^x

15. suneja

see ur que was to diff y= lne^x now as i said ln and exp cancels out each other so lne^x=x ie y=x dx/dx=1

16. lilly21

you guys are completely confusing me

17. suneja

did u get tis

18. micahwood50

Do you know logarithm properties?

19. lilly21

one question, is it possible to cancel well when rewritten.....ln=1/w so we have 1/x e^x is it possible to cancel out the x's?

20. suneja

NO

21. lilly21

i mean ln=1/x

22. micahwood50

$\ln a^b = b \ln a$

23. suneja

ya

24. micahwood50

So $\ln e^x = x \ln e$

25. micahwood50

And ln e = 1

26. micahwood50

Do you know logarithm properties?

27. lilly21

i did

28. suneja

you can do that way too but rem tis log n exponential r mirrors function dats y can cancel them out and wat micahwood50 says is also correct

29. micahwood50

Well, so y = x. Now derivative it.

30. lilly21

1

31. micahwood50

Yeah. y' = 1

32. lilly21

okay thanks

33. micahwood50

No problem. Glad I helped you.

34. lilly21

:]

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