## Nicole1313 2 years ago Why is the derivative of theta, 1?

• This Question is Open
1. primeralph

With respect to?

2. dmelando

If the derivative of theta is 1, it has to be in respect to theta

3. Nicole1313

The question asks me to find the derivative of H(theta)= thetasintheta

4. primeralph

if with respect to theta, yes it's 1.

5. dmelando

Nicole, I don't really understand the question you have. Could to rephase it at all?

6. Nicole1313

it says: If H(theta)= thetas(sin theta), find H'(theta) and H"(theta)

7. primeralph

Yeah, just do it the standard way.

8. AakashSudhakar

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.