# How do you find the derivative of #h(theta)=2^(-theta)cospitheta#?

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To find the derivative of ( h(\theta) = 2^{-\theta} \cos(\pi \theta) ), you can use the product rule and chain rule. The derivative is:

[ h'(\theta) = -2^{-\theta} \ln(2) \cos(\pi \theta) - 2^{-\theta} \pi \sin(\pi \theta) ]

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When evaluating a one-sided 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 one-sided 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 one-sided 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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