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PhoenixFire Group Title

find dy/dx of y=(sin(x))^x

  • 2 years ago
  • 2 years ago

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  1. lgbasallote Group Title
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    ln both sides \[\ln y = x \ln (\sin x)\] do implicit differentiation yada yada...got it?

    • 2 years ago
  2. PhoenixFire Group Title
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    Yup. Makes sense. thanks.

    • 2 years ago
  3. lgbasallote Group Title
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    so can you do it from here?

    • 2 years ago
  4. PhoenixFire Group Title
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    Yes I can... forgot about implicit. Should be good.

    • 2 years ago
  5. lgbasallote Group Title
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    great :D

    • 2 years ago
  6. beeqay Group Title
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    Phoenix, do you know why we use log differentiation here?

    • 2 years ago
  7. beeqay Group Title
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    Phoenix, do you know why we use log differentiation here?

    • 2 years ago
  8. beeqay Group Title
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    This would be helpful for the future. \[d/dx (a^b) = 0\] because a and b are just constants. \[d/dx (x^n) = nx^{n-1}\] \[d/dx (f(x)^{g(x)}= \log differentiation\] because it's a function raised to a function.

    • 2 years ago
  9. beeqay Group Title
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    n is a constant in the second case.

    • 2 years ago
  10. PhoenixFire Group Title
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    Thanks beeqay. Helpful to know that.

    • 2 years ago
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