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Math Help - easy differentiation?

  1. #1
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    easy differentiation?

    ok i Just came out of an exam an wondering if I differentiated part of a question right.

    I know

    tan(x) differentiates to sec^2x

    but would tan(2x) differentiate to 2sec^22x or  2sec^24x?
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  2. #2
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    Hello,
    Quote Originally Posted by djmccabie View Post
    ok i Just came out of an exam an wondering if I differentiated part of a question right.

    I know

    tan(x) differentiates to sec^2x

    but would tan(2x) differentiate to 2sec^22x or  2sec^24x?
    To 2\sec^2(2x)

    Use the chain rule : [u(v(x))]'=v'(x)u'(v(x))

    Here, v(x)=2x and u=tan
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  3. #3
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    \frac{d}{dx} \tan 2x= 2\sec^2 2x
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