# What is the derivative of this function #sec^-1(x^2-x)#?

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To find the derivative of the function ( \sec^{-1}(x^2 - x) ), you'll need to use the chain rule. The derivative of ( \sec^{-1}(u) ) with respect to ( x ) is ( \frac{1}{|u|\sqrt{u^2-1}} \frac{d}{dx}(u) ), where ( u = x^2 - x ). So, differentiate ( u = x^2 - x ) with respect to ( x ) to get ( \frac{d}{dx}(x^2 - x) ), and then apply the chain rule.

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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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