# How do you find the derivative of the function #y = arccos(e^(3x))#?

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To find the derivative of the function ( y = \arccos(e^{3x}) ), you can use the chain rule. The derivative is:

[ \frac{dy}{dx} = -\frac{1}{\sqrt{1 - (e^{3x})^2}} \cdot \frac{d}{dx}(e^{3x}) ]

Now, find the derivative of ( e^{3x} ), which is ( 3e^{3x} ). Substituting this back into the equation, you get:

[ \frac{dy}{dx} = -\frac{1}{\sqrt{1 - (e^{3x})^2}} \cdot 3e^{3x} ]

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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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