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farukk

  • 2 years ago

???

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  1. farukk
    • 2 years ago
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    which is correct? i.e a+b\a-b (after rationallization)a+b\a-b * a+b\a+b or a+b\a-b * a-b\a-b ?

  2. UnkleRhaukus
    • 2 years ago
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    |dw:1354620267974:dw|

  3. UnkleRhaukus
    • 2 years ago
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    |dw:1354620294927:dw|

  4. farukk
    • 2 years ago
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    can it be a-b rather than a+b?

  5. UnkleRhaukus
    • 2 years ago
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    it would be equal but it wouldn't helpful in rationalisation

  6. farukk
    • 2 years ago
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    all right thanks

  7. UnkleRhaukus
    • 2 years ago
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    |dw:1354620486122:dw|

  8. farukk
    • 2 years ago
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    one more question ?

  9. farukk
    • 2 years ago
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    may i ask

  10. UnkleRhaukus
    • 2 years ago
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    yes!

  11. farukk
    • 2 years ago
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    |dw:1354681791055:dw|

  12. farukk
    • 2 years ago
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    u got?

  13. farukk
    • 2 years ago
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    how will we use power rule in this question?

  14. UnkleRhaukus
    • 2 years ago
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    so the first step would be to remember that the the derivative of a sum , is the sum of derivatives

  15. farukk
    • 2 years ago
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    yes yes

  16. UnkleRhaukus
    • 2 years ago
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    \[\frac{\text d}{\text d x}(1+\sqrt{1-x^2})=\frac{\text d}{\text d x}(1)+\frac{\text d}{\text d x}\left(\sqrt{1-x^2}\right)\]

  17. farukk
    • 2 years ago
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    derivative of a constant will be 0

  18. UnkleRhaukus
    • 2 years ago
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    right

  19. UnkleRhaukus
    • 2 years ago
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    so the problem is much simpler now

  20. UnkleRhaukus
    • 2 years ago
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    can you remember the derivative of a function of a function?

  21. farukk
    • 2 years ago
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    to me it's start right now:)

  22. farukk
    • 2 years ago
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    i'm sorry

  23. farukk
    • 2 years ago
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    |dw:1354682465787:dw|

  24. UnkleRhaukus
    • 2 years ago
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    \[ (f\circ g)'(x)=f(g(x))'=f'(g(x))g'(x)\]

  25. UnkleRhaukus
    • 2 years ago
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    |dw:1354621505691:dw|

  26. UnkleRhaukus
    • 2 years ago
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    you have to multiply by the derivative of the the inside function

  27. UnkleRhaukus
    • 2 years ago
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    |dw:1354621612577:dw|

  28. UnkleRhaukus
    • 2 years ago
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    following?

  29. farukk
    • 2 years ago
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    |dw:1354682900778:dw|

  30. UnkleRhaukus
    • 2 years ago
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    yeah

  31. farukk
    • 2 years ago
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    but how?

  32. UnkleRhaukus
    • 2 years ago
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    \[\frac{\text d}{\text d x}(1+\sqrt{1-x^2})\]\[=\frac{\text d}{\text d x}(1)+\frac{\text d}{\text d x}\left(\sqrt{1-x^2}\right)\]\[=\frac{\text d}{\text d x}\left(\sqrt{1-x^2}\right)\] \[\qquad\frac{\text d}{\text dx}f(g(x))=(f\circ g)'(x)=g'(x)f'(g(x))\]\[\qquad f(x)= x^{1/2}\qquad f'(x)=\frac12x^{-1/2}\]\[\qquad g(x)=1-x^2\qquad g'(x)=-2x\] \[=-2x\times\frac12(1-x^2)^{-1/2}\]

  33. UnkleRhaukus
    • 2 years ago
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    i know this stuff is tricky, can you tell me where about you are having trouble

  34. farukk
    • 2 years ago
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    haha

  35. farukk
    • 2 years ago
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    it is but u have solved it thank u so much!!

  36. UnkleRhaukus
    • 2 years ago
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    yeah but do understand the chain rule/,

  37. farukk
    • 2 years ago
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    no will be tomorow in college

  38. farukk
    • 2 years ago
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    hey did you use chain rule?

  39. UnkleRhaukus
    • 2 years ago
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    the chain rule for the derivative of a function of a function \[(f\circ g)'(x)=g'(x)f'(g(x))\]

  40. farukk
    • 2 years ago
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    is there any other way for this question except chain rule?

  41. farukk
    • 2 years ago
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    u didt use power rule? did u?

  42. UnkleRhaukus
    • 2 years ago
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    i used the power fule to find f '(x) and g'((x)

  43. farukk
    • 2 years ago
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    confusing me

  44. UnkleRhaukus
    • 2 years ago
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    watch this video , skip the first 5 minutes http://www.khanacademy.org/math/calculus/differential-calculus/e/chain_rule_1

  45. farukk
    • 2 years ago
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    actually i have solved all my questions except this one in quite a simple way

  46. UnkleRhaukus
    • 2 years ago
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    did you get the right answers?

  47. farukk
    • 2 years ago
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    i'm solving questions using theorems

  48. farukk
    • 2 years ago
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    there is no video

  49. farukk
    • 2 years ago
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    yeah answer is right

  50. UnkleRhaukus
    • 2 years ago
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    well you will have to learn the chain rule

  51. UnkleRhaukus
    • 2 years ago
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    this is the link i ment http://www.khanacademy.org/math/calculus/differential-calculus/v/the-chain-rule?exid=chain_rule_1

  52. farukk
    • 2 years ago
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    |dw:1354747831157:dw|

  53. farukk
    • 2 years ago
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    mistake* -2x\ 2 sqrt 1 - x square

  54. farukk
    • 2 years ago
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    |dw:1354748818882:dw|

  55. UnkleRhaukus
    • 2 years ago
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    you can cancel the two

  56. farukk
    • 2 years ago
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    yeah rightly said!

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