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jpjones Group Title

find f'(x) if f(x) = ln(sinx)

  • one year ago
  • one year ago

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  1. love_math Group Title
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    derivative of sinx divided by sinx

    • one year ago
  2. satellite73 Group Title
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    \[\frac{d}{dx}[\ln(f(x))]=\frac{f'(x)}{f(x)}\] via the chain rule

    • one year ago
  3. satellite73 Group Title
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    oops

    • one year ago
  4. love_math Group Title
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    cotx

    • one year ago
  5. franciscanmonk Group Title
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    f(x) = ln(sinx) y' = (1/sinx)(cosx) y' = cosx/sinx y' = cotx

    • one year ago
  6. sauravshakya Group Title
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    f'(x)=d(lnsinx)/dx = {d(ln sinx) /dsinx} * {dsinx /dx} ={1/sinx} *{cosx} =cosx/sinx =cotx

    • one year ago
  7. sauravshakya Group Title
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    got it?

    • one year ago
  8. lgbasallote Group Title
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    oops? @satellite73

    • one year ago
  9. jpjones Group Title
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    why cot x and not tan x

    • one year ago
  10. satellite73 Group Title
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    there was an erroneous tangent floating around, it is gone

    • one year ago
  11. satellite73 Group Title
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    oh look, it came back!!

    • one year ago
  12. sauravshakya Group Title
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    U can write it interms of tan x too

    • one year ago
  13. sauravshakya Group Title
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    BUT: f'(x)= 1/tan x

    • one year ago
  14. jpjones Group Title
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    thanks

    • one year ago
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