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Nicole1313

  • one year ago

Why is the derivative of theta, 1?

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  1. primeralph
    • one year ago
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    With respect to?

  2. dmelando
    • one year ago
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    If the derivative of theta is 1, it has to be in respect to theta

  3. Nicole1313
    • one year ago
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    The question asks me to find the derivative of H(theta)= thetasintheta

  4. primeralph
    • one year ago
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    if with respect to theta, yes it's 1.

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

  6. Nicole1313
    • one year ago
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    it says: If H(theta)= thetas(sin theta), find H'(theta) and H"(theta)

  7. primeralph
    • one year ago
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    Yeah, just do it the standard way.

  8. AakashSudhakar
    • one year ago
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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.

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