How do you find the derivative of #y=pi/2sinthetacostheta#?
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To find the derivative of ( y = \frac{\pi}{2} \sin(\theta)  \cos(\theta) ):

Use the derivative rules:
 The derivative of ( \sin(\theta) ) is ( \cos(\theta) ).
 The derivative of ( \cos(\theta) ) is ( \sin(\theta) ).

Apply these rules to the given function: [ \frac{dy}{d\theta} = \frac{\pi}{2} \cdot \cos(\theta) + \sin(\theta) ]
So, the derivative of ( y = \frac{\pi}{2} \sin(\theta)  \cos(\theta) ) with respect to ( \theta ) is ( \frac{dy}{d\theta} = \frac{\pi}{2} \cdot \cos(\theta) + \sin(\theta) ).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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