# How do you find the derivative of #f(x) = (cos x) e^(-xsqrt3)#?

So, we need the elements:

Solving the original derivation, then:

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To find the derivative of ( f(x) = (\cos x) e^{-x\sqrt{3}} ), you can use the product rule along with the chain rule. The derivative is:

[ f'(x) = -\sqrt{3}(\cos x)e^{-x\sqrt{3}} + (\sin x)e^{-x\sqrt{3}} ]

This can be simplified as:

[ f'(x) = e^{-x\sqrt{3}} (\sin x - \sqrt{3} \cos x) ]

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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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