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Nicole1313 Group Title

Why is the derivative of theta, 1?

  • 10 months ago
  • 10 months ago

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  1. primeralph Group Title
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    With respect to?

    • 10 months ago
  2. dmelando Group Title
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    If the derivative of theta is 1, it has to be in respect to theta

    • 10 months ago
  3. Nicole1313 Group Title
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    The question asks me to find the derivative of H(theta)= thetasintheta

    • 10 months ago
  4. primeralph Group Title
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    if with respect to theta, yes it's 1.

    • 10 months ago
  5. dmelando Group Title
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    Nicole, I don't really understand the question you have. Could to rephase it at all?

    • 10 months ago
  6. Nicole1313 Group Title
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    it says: If H(theta)= thetas(sin theta), find H'(theta) and H"(theta)

    • 10 months ago
  7. primeralph Group Title
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    Yeah, just do it the standard way.

    • 10 months ago
  8. AakashSudhakar Group Title
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    If the question is H(Ø) = Øsin(Ø) and you're differentiating with respect to Ø, then you'd have to use the Product Rule here since you have one variable quantity, Ø, being multiplied by another variable quantity, sin(Ø). Thus... H(Ø) = Øsin(Ø) H'(Ø) = (1)(sin(Ø)) + (Ø)(cos(Ø)) = sin(Ø) + Øcos(Ø) H''(Ø) = cos(Ø) + (1)(cos(Ø)) + (Ø)(–sin(Ø)) = 2cos(Ø) – Øsin(Ø) Unless the question also gave you an initial condition or a value for Ø to plug in to the original function and/or its derivatives, I'm not very sure where the value of 1 came into the picture.

    • 9 months ago
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