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What is the derivative of #sec^2(3x)#?

Answer 1

Ezekiel Alexander

To differentiate, use the chain rule:

Given: #y= (sec(3x))^2#

#y'=2\[sec(3x)]\[sec(3x)tan(3x)](3)#

#y'= 6 sec^2 (3x) tan(3x)#

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Answer 2

Aurora Alvarado

The derivative of sec^2(3x) is 6sec(3x)tan(3x).

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Answer 3

Cameron Alexander

The derivative of (\sec^2(3x)) is (6\sec(3x)\tan(3x)).

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Answer from HIX Tutor

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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