What is the derivative of #f(x)=cos^-1(x)# ?
In general,
Here's how we obtain this common derivative:
This will entail using Implicit Differentiation on the right side:
Now, recall the identity
Thus,
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Take the derivative of both sides. Use the chain rule on the left.
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The derivative of ( f(x) = \cos^{-1}(x) ) is ( -\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.
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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