How do you find the derivative of #g(x)=sin^2x+cos^2x+secx#?
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To find the derivative of ( g(x) = \sin^2(x) + \cos^2(x) + \sec(x) ), you would differentiate each term separately using the appropriate rules of differentiation.
The derivative of ( \sin^2(x) ) with respect to ( x ) is ( 2 \sin(x) \cos(x) ).
The derivative of ( \cos^2(x) ) with respect to ( x ) is also ( 2 \sin(x) \cos(x) ).
The derivative of ( \sec(x) ) with respect to ( x ) is ( \sec(x) \tan(x) ).
So, putting it all together, the derivative of ( g(x) ) with respect to ( x ) is:
[ g'(x) = 2 \sin(x) \cos(x) + 2 \sin(x) \cos(x) + \sec(x) \tan(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.
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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