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Math Help - derivative of (tan^2)(X)

  1. #1
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    Lightbulb derivative of (tan^2)(X)

    I know that the derivative of tanx is sec^2(x), but should I pull out the exponent and do [sec^2(x)]*[sec^2(x)]?
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  2. #2
    Moo
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    Hello,

    The derivative for u^2(x) is 2 u'(x) u(x)
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by liberatedstorm View Post
    I know that the derivative of tanx is sec^2(x), but should I pull out the exponent and do [sec^2(x)]*[sec^2(x)]?
    No. if you do that you would have to use the product rule, so you would have two terms. which could be factorized

    instead, think of it as (\tan x)^2 and use the chain rule ...EDIT: which Moo described just before I posted!
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  4. #4
    Moo
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    Or product rule
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  5. #5
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    Quote Originally Posted by Moo View Post
    Hello,

    The derivative for u^2(x) is 2 u'(x) u(x)
    Alright, so I just do (tanx)^2 and from there.

    Alrighty, thanks! n__n

    I always overlook the fact that tan^2(x) isn't squaring the X but rather the u

    seriously, thanks you guys!
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