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swin2013 Group Title

derivative?

  • 2 years ago
  • 2 years ago

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  1. swin2013 Group Title
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    \[\ln(\cos(w-1))\]

    • 2 years ago
  2. calculusfunctions Group Title
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    To take the derivative of the natural logarithm function, divide the derivative of the argument function by the argument function. Thus\[\frac{ d(\ln f(x)) }{ x }=\frac{ f \prime(x) }{ f(x) }\]Do you understand?

    • 2 years ago
  3. swin2013 Group Title
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    so it's 1/cos(w-1) * -sin(w-1) *1?

    • 2 years ago
  4. calculusfunctions Group Title
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    Sorry, that should be dx in the first denominator.

    • 2 years ago
  5. calculusfunctions Group Title
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    YES!!

    • 2 years ago
  6. calculusfunctions Group Title
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    \[\frac{ d(\ln (\cos (w -1)) }{ dx }=\frac{ -\sin (w -1) }{ \cos (w -1) }=-\tan (w -1)\]Understand?

    • 2 years ago
  7. calculusfunctions Group Title
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    @swin2013 I asked if you understood.

    • 2 years ago
  8. swin2013 Group Title
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    yes i do sorry, i was working on another problem :)

    • 2 years ago
  9. calculusfunctions Group Title
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    No worries!

    • 2 years ago
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