# How do you find the derivative of #sin(arccosx)#?

Use the Chain Rule, resulting in

Step 3. Apply the Chain Rule to the equations in Step 1.

Step 5. Plug your derivatives back into Chain Rule of Step 2.

Step 6 is often optional, but you can then try to simplify as much as you can.

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I would use the fact that

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To find the derivative of ( \sin(\arccos(x)) ), you can use the chain rule. The derivative is:

[ \frac{d}{dx}\left[\sin(\arccos(x))\right] = -\frac{1}{\sqrt{1-x^2}} ]

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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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