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Math Help - Derivative help?

  1. #1
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    Derivative help?

    Hello! Can anybody help me and tell me what the derivative of (6x)^-2 is? Thanks! I'm having a brain fart
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  2. #2
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    Re: Derivative help?

    Quote Originally Posted by camjenson View Post
    Hello! Can anybody help me and tell me what the derivative of (6x)^-2 is?
    D_x \left[ {\left( {6x} \right)^{ - 2} } \right] =  - 12\left( {6x} \right)^{ - 3} .

    BTW: Your brain cannot to that.
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    Re: Derivative help?

    Hello, camjenson!

    Can anybody tell me what the derivative of (6x)^{-2} is?

    If you can't handle the Chain Rule,
    . . you can write: . y \;=\;(6x)^{-2} \;=\;6^{-2}x^{-2} \;=\;\tfrac{1}{36}x^{-2}

    Then: . y' \;=\;\tfrac{1}{36}\left(\text{-}2x^{-3}\right) \;=\;-\tfrac{1}{18}x^{-3} \;=\;-\frac{1}{18x^3}
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