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Whats the derivative of sin^2(theta)?

by M. next
Tags: derivative, sin2theta
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M. next
#1
May10-12, 11:00 PM
P: 378
but i need the derivative wrt time where theta depends on time
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Mark44
#2
May10-12, 11:49 PM
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P: 21,280
Quote Quote by M. next View Post
but i need the derivative wrt time where theta depends on time
Use the chain rule.
$$\frac{d}{dt}sin^2(\theta) = \frac{d}{d\theta}sin^2(\theta)\cdot \frac{d\theta}{dt} = ? $$
M. next
#3
May10-12, 11:58 PM
P: 378
then it is simply 2sin(theta)cos(theta)*(theta dot)

Mark44
#4
May11-12, 12:17 AM
Mentor
P: 21,280
Whats the derivative of sin^2(theta)?

Yes, that's it.


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