How do you differentiate #f(x)=2secx+tanx#?
Start by rewriting in terms of sine and cosine using the reciprocal/quotient identities.
We differentiate using the quotient rule.
Hopefully this helps!
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To differentiate ( f(x) = 2\sec(x) + \tan(x) ), you can use the following steps:

Use the derivative rules:
 The derivative of ( \sec(x) ) is ( \sec(x) \tan(x) ).
 The derivative of ( \tan(x) ) is ( \sec^2(x) ).

Apply the rules to differentiate each term:
 The derivative of ( 2\sec(x) ) is ( 2\sec(x)\tan(x) ).
 The derivative of ( \tan(x) ) is ( \sec^2(x) ).

Combine the derivatives of each term to get the derivative of the function ( f(x) ):
 ( f'(x) = 2\sec(x)\tan(x) + \sec^2(x) ).
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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