## ta123 Group Title need help with the attachment 2 years ago 2 years ago

1. ta123 Group Title

2. YTheManifold Group Title

a) Just plug in 1 for the numerator and g(x) for the denominator in the quotient rule. b) $-{\frac {1+k{{\rm e}^{s}}}{ \left( s+k{{\rm e}^{s}} \right) ^{2}}}$ assuming y is a function of s. c) Follows from $x^{-n} = \frac{1}{x^n}$ and $\frac{d}{dx} x^n = nx^{n-1}$

3. ta123 Group Title

is the quotient rule the same thing as the reciprocal part b?

4. YTheManifold Group Title

What do you mean? The reciprocal rule is a special case of the quotient rule. You can use either one for part b, but it's easier to use the reciprocal rule.

5. ta123 Group Title

The quotient rule f'g-fg'/g^(2)

6. ta123 Group Title

but g(x) is just a variable

7. ta123 Group Title

ok I got it

8. YTheManifold Group Title

What is your question? g is not just a variable, it's a function.

9. YTheManifold Group Title

10. ta123 Group Title

OK I need help with differentiating the bottom on part could you show me step by step how to differentiate that one?

11. ta123 Group Title

part b

12. ta123 Group Title

and also the numerator of the function

13. YTheManifold Group Title

You need to differentiate$\Large s+k\cdot e^s$ with respect to s.

14. YTheManifold Group Title

The derivative of a sum is the sum of derivatives, so differentiate s and then differentiate k*e^s.

15. YTheManifold Group Title

What is the derivative of s?

16. raheen Group Title

17. ta123 Group Title

1

18. YTheManifold Group Title

Yes. And what is the derivative of e^s ?

19. raheen Group Title

@ta, see the attachee

20. ta123 Group Title

e^(s)

21. YTheManifold Group Title

22. YTheManifold Group Title

Yes, so now you can add them together and you get the derivative

23. YTheManifold Group Title

And then just plug that into the formula in part a)

24. ta123 Group Title

1+e^(s)

25. YTheManifold Group Title

No! Don't forget the factor k!

26. YTheManifold Group Title

k does not depend on s, so you can just leave it unchanged

27. YTheManifold Group Title

But you must not forget it :D

28. raheen Group Title

29. raheen Group Title

here u r

30. YTheManifold Group Title

raheen there is still no explanation of part b :D

31. raheen Group Title

32. raheen Group Title

part b asking to find using the rule only

33. YTheManifold Group Title

ta123 do you have more questions?

34. raheen Group Title

whears the other 2 parts are to prove

35. raheen Group Title

@ta got that?

36. YTheManifold Group Title

lol raheen are you just trying to get a medal, because I can give you one if thats what you want :D

37. ta123 Group Title

38. raheen Group Title

no YThe, I always try to help , pls don read the things in wrong way

39. YTheManifold Group Title

40. ta123 Group Title

yes, thanks for the help Y and raheen

41. raheen Group Title

ta why some ppl are using an offensive words?

42. raheen Group Title

I think I stayed with u b4 more than 2 hrs, without any annyance, right?

43. ta123 Group Title

yes

44. raheen Group Title

thank u.

45. ta123 Group Title

no prob!