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Math Help - Calculus Derivative

  1. #1
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    Arrow Calculus Derivative

    Find dy/dx if y=tan^-1 (X-4)
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  2. #2
    MHF Contributor red_dog's Avatar
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    Use (\arctan u)'=\frac{u'}{1+u^2}
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  3. #3
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    So then would I put 4 in for u?
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  4. #4
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    Solution:

    y=tan^-1 (X-4)

    y=1/(1+(x-4)^2)
    =1/(1+x^2-8x+16)
    =1/(x^2-8x+17)
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