# What is the 2nd derivative of y=tanx?

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I would use the Quotient Rule (twice):

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The second derivative of ( y = \tan(x) ) is:

[ \frac{d^2}{dx^2}(\tan(x)) = \frac{d}{dx}(\sec^2(x)) = 2\sec^2(x)\tan(x) ]

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The second derivative of y = tan(x) is:

y'' = sec^2(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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