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Thread: Finding the derivative

  1. January 17th 2008, 03:43 PM #1
    Linnus
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    Finding the derivative

    Cos x= e^y
    0<x<pi/2
    What is dy/dx in terms of x?
    Thanks!
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  2. January 17th 2008, 04:06 PM #2
    Jhevon
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Linnus View Post
    Cos x= e^y
    0<x<pi/2
    What is dy/dx in terms of x?
    Thanks!
    you may be thinking about differentiating implicitly, but it is possible to solve for y here

    \cos x = e^y \implies y = \ln ( \cos x)

    now, can you differentiate that? Hint: use the chain rule
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  3. January 17th 2008, 04:17 PM #3
    Linnus
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    ah, thanks, i can't believe I overlooked that
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