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Nicole1313

  • 2 years ago

Why is the derivative of theta, 1?

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  1. primeralph
    • 2 years ago
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    With respect to?

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

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

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

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

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

  7. primeralph
    • 2 years ago
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    Yeah, just do it the standard way.

  8. AakashSudhakar
    • 2 years 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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