If ω & A are constant then d[ω√(A^2 - x^2)]/dt =?

A) ω/{2√(A^2 - x^2)}

B) -ω/{2√(A^2 - x^2)}

C) -ωx/{√(A^2 - x^2)}

D) None of these

Can u please explain the reasoning too?

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- June 29th 2008, 08:47 AMfardeen_genDifferential calculus?
**If ω & A are constant then d[ω√(A^2 - x^2)]/dt =?**

A) ω/{2√(A^2 - x^2)}

B) -ω/{2√(A^2 - x^2)}

C) -ωx/{√(A^2 - x^2)}

D) None of these

Can u please explain the reasoning too? - June 29th 2008, 11:00 AMReckoner
- June 29th 2008, 11:25 AMMathstud28
- June 29th 2008, 11:26 AMReckoner
- June 29th 2008, 11:29 AMMathstud28
- June 30th 2008, 06:46 AMfardeen_gen
Is the answer 0 then? So D is the correct option, right?

- June 30th 2008, 09:58 AMReckoner
We do not know for sure that is constant, so you should leave it in a form involving . If happens to be constant the derivative will still work out to be 0.

So in this case, assuming you typed the problem correctly and we are differentiating with respect to , (D) would be correct.